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Finding the Fourth Proportional to 157,752.69, 217,697.61 and 86,132.49

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Solution

The fourth proportional to 157,752.69, 217,697.61 and 86,132.49 is: 118,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,752.69 : 217,697.61 = 86,132.49 : x
  2. Step 2: Convert to fraction form
    157,752.69/217,697.61 = 86,132.49/x
  3. Step 3: Cross multiply
    157,752.69x = 217,697.61 × 86,132.49
  4. Step 4: Simplify right side
    157,752.69x = 18,750,837,216.35
  5. Step 5: Solve for x
    x = 18,750,837,216.35/157,752.69
  6. Step 6: Final answer
    x = 118,862.23

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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.