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Finding the Fourth Proportional to 78,580.24, 117,870.36 and 64,700.08

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Solution

The fourth proportional to 78,580.24, 117,870.36 and 64,700.08 is: 97,050.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,580.24 : 117,870.36 = 64,700.08 : x
  2. Step 2: Convert to fraction form
    78,580.24/117,870.36 = 64,700.08/x
  3. Step 3: Cross multiply
    78,580.24x = 117,870.36 × 64,700.08
  4. Step 4: Simplify right side
    78,580.24x = 7,626,221,721.63
  5. Step 5: Solve for x
    x = 7,626,221,721.63/78,580.24
  6. Step 6: Final answer
    x = 97,050.12

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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.