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Finding the Fourth Proportional to 157,817.53, 217,788.19 and 86,197.72

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Solution

The fourth proportional to 157,817.53, 217,788.19 and 86,197.72 is: 118,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,817.53 : 217,788.19 = 86,197.72 : x
  2. Step 2: Convert to fraction form
    157,817.53/217,788.19 = 86,197.72/x
  3. Step 3: Cross multiply
    157,817.53x = 217,788.19 × 86,197.72
  4. Step 4: Simplify right side
    157,817.53x = 18,772,843,901.00
  5. Step 5: Solve for x
    x = 18,772,843,901.00/157,817.53
  6. Step 6: Final answer
    x = 118,952.85

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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.