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Finding the Fourth Proportional to 77,711.68, 107,238.16 and 47,491.04

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Solution

The fourth proportional to 77,711.68, 107,238.16 and 47,491.04 is: 65,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,711.68 : 107,238.16 = 47,491.04 : x
  2. Step 2: Convert to fraction form
    77,711.68/107,238.16 = 47,491.04/x
  3. Step 3: Cross multiply
    77,711.68x = 107,238.16 × 47,491.04
  4. Step 4: Simplify right side
    77,711.68x = 5,092,851,746.09
  5. Step 5: Solve for x
    x = 5,092,851,746.09/77,711.68
  6. Step 6: Final answer
    x = 65,535.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.