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Finding the Fourth Proportional to 78,298,680.30, 117,448,020.45 and 78,298,680.30

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Solution

The fourth proportional to 78,298,680.30, 117,448,020.45 and 78,298,680.30 is: 117,448,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,298,680.30 : 117,448,020.45 = 78,298,680.30 : x
  2. Step 2: Convert to fraction form
    78,298,680.30/117,448,020.45 = 78,298,680.30/x
  3. Step 3: Cross multiply
    78,298,680.30x = 117,448,020.45 × 78,298,680.30
  4. Step 4: Simplify right side
    78,298,680.30x = 9,196,025,005,082,412
  5. Step 5: Solve for x
    x = 9,196,025,005,082,412/78,298,680.30
  6. Step 6: Final answer
    x = 117,448,020.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.