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Finding the Fourth Proportional to 90,654.32, 125,002.10 and 61,978.65

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Solution

The fourth proportional to 90,654.32, 125,002.10 and 61,978.65 is: 85,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,654.32 : 125,002.10 = 61,978.65 : x
  2. Step 2: Convert to fraction form
    90,654.32/125,002.10 = 61,978.65/x
  3. Step 3: Cross multiply
    90,654.32x = 125,002.10 × 61,978.65
  4. Step 4: Simplify right side
    90,654.32x = 7,747,461,095.27
  5. Step 5: Solve for x
    x = 7,747,461,095.27/90,654.32
  6. Step 6: Final answer
    x = 85,461.58

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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.