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Finding the Fourth Proportional to 157,880.21, 217,864.24 and 89,904.14

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Solution

The fourth proportional to 157,880.21, 217,864.24 and 89,904.14 is: 124,061.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,880.21 : 217,864.24 = 89,904.14 : x
  2. Step 2: Convert to fraction form
    157,880.21/217,864.24 = 89,904.14/x
  3. Step 3: Cross multiply
    157,880.21x = 217,864.24 × 89,904.14
  4. Step 4: Simplify right side
    157,880.21x = 19,586,897,133.95
  5. Step 5: Solve for x
    x = 19,586,897,133.95/157,880.21
  6. Step 6: Final answer
    x = 124,061.76

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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.