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Finding the Fourth Proportional to 71,000.10, 106,370.55 and 57,780.90

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Solution

The fourth proportional to 71,000.10, 106,370.55 and 57,780.90 is: 86,565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,000.10 : 106,370.55 = 57,780.90 : x
  2. Step 2: Convert to fraction form
    71,000.10/106,370.55 = 57,780.90/x
  3. Step 3: Cross multiply
    71,000.10x = 106,370.55 × 57,780.90
  4. Step 4: Simplify right side
    71,000.10x = 6,146,186,112.50
  5. Step 5: Solve for x
    x = 6,146,186,112.50/71,000.10
  6. Step 6: Final answer
    x = 86,565.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.