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Finding the Fourth Proportional to 158,902.83, 219,262.14 and 90,909

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Solution

The fourth proportional to 158,902.83, 219,262.14 and 90,909 is: 125,440.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,902.83 : 219,262.14 = 90,909 : x
  2. Step 2: Convert to fraction form
    158,902.83/219,262.14 = 90,909/x
  3. Step 3: Cross multiply
    158,902.83x = 219,262.14 × 90,909
  4. Step 4: Simplify right side
    158,902.83x = 19,932,901,885.26
  5. Step 5: Solve for x
    x = 19,932,901,885.26/158,902.83
  6. Step 6: Final answer
    x = 125,440.82

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1.5x scale

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.