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Finding the Fourth Proportional to 77,244.30, 115,666.65 and 64,734.30

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Solution

The fourth proportional to 77,244.30, 115,666.65 and 64,734.30 is: 96,934.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,244.30 : 115,666.65 = 64,734.30 : x
  2. Step 2: Convert to fraction form
    77,244.30/115,666.65 = 64,734.30/x
  3. Step 3: Cross multiply
    77,244.30x = 115,666.65 × 64,734.30
  4. Step 4: Simplify right side
    77,244.30x = 7,487,599,621.10
  5. Step 5: Solve for x
    x = 7,487,599,621.10/77,244.30
  6. Step 6: Final answer
    x = 96,934.01

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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.