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Finding the Fourth Proportional to 157,035, 216,712.72 and 85,419.60

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Solution

The fourth proportional to 157,035, 216,712.72 and 85,419.60 is: 117,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,035 : 216,712.72 = 85,419.60 : x
  2. Step 2: Convert to fraction form
    157,035/216,712.72 = 85,419.60/x
  3. Step 3: Cross multiply
    157,035x = 216,712.72 × 85,419.60
  4. Step 4: Simplify right side
    157,035x = 18,511,513,857.31
  5. Step 5: Solve for x
    x = 18,511,513,857.31/157,035
  6. Step 6: Final answer
    x = 117,881.45

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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.