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Finding the Fourth Proportional to 77,149.47, 106,457.17 and 43,159.71

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Solution

The fourth proportional to 77,149.47, 106,457.17 and 43,159.71 is: 59,555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,149.47 : 106,457.17 = 43,159.71 : x
  2. Step 2: Convert to fraction form
    77,149.47/106,457.17 = 43,159.71/x
  3. Step 3: Cross multiply
    77,149.47x = 106,457.17 × 43,159.71
  4. Step 4: Simplify right side
    77,149.47x = 4,594,660,584.62
  5. Step 5: Solve for x
    x = 4,594,660,584.62/77,149.47
  6. Step 6: Final answer
    x = 59,555.31

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1.5x scale

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.