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Finding the Fourth Proportional to 157,359, 217,157.58 and 90,291

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Solution

The fourth proportional to 157,359, 217,157.58 and 90,291 is: 124,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,359 : 217,157.58 = 90,291 : x
  2. Step 2: Convert to fraction form
    157,359/217,157.58 = 90,291/x
  3. Step 3: Cross multiply
    157,359x = 217,157.58 × 90,291
  4. Step 4: Simplify right side
    157,359x = 19,607,375,055.78
  5. Step 5: Solve for x
    x = 19,607,375,055.78/157,359
  6. Step 6: Final answer
    x = 124,602.82

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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.