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Finding the Fourth Proportional to 157,298, 217,071.24 and 90,251.60

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Solution

The fourth proportional to 157,298, 217,071.24 and 90,251.60 is: 124,547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,298 : 217,071.24 = 90,251.60 : x
  2. Step 2: Convert to fraction form
    157,298/217,071.24 = 90,251.60/x
  3. Step 3: Cross multiply
    157,298x = 217,071.24 × 90,251.60
  4. Step 4: Simplify right side
    157,298x = 19,591,026,723.98
  5. Step 5: Solve for x
    x = 19,591,026,723.98/157,298
  6. Step 6: Final answer
    x = 124,547.21

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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.