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Finding the Fourth Proportional to 157,001, 216,681 and 89,933

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Solution

The fourth proportional to 157,001, 216,681 and 89,933 is: 124,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,001 : 216,681 = 89,933 : x
  2. Step 2: Convert to fraction form
    157,001/216,681 = 89,933/x
  3. Step 3: Cross multiply
    157,001x = 216,681 × 89,933
  4. Step 4: Simplify right side
    157,001x = 19,486,772,373
  5. Step 5: Solve for x
    x = 19,486,772,373/157,001
  6. Step 6: Final answer
    x = 124,118.78

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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.