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Finding the Fourth Proportional to 70,909.60, 106,234.80 and 57,690.40

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Solution

The fourth proportional to 70,909.60, 106,234.80 and 57,690.40 is: 86,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,909.60 : 106,234.80 = 57,690.40 : x
  2. Step 2: Convert to fraction form
    70,909.60/106,234.80 = 57,690.40/x
  3. Step 3: Cross multiply
    70,909.60x = 106,234.80 × 57,690.40
  4. Step 4: Simplify right side
    70,909.60x = 6,128,728,105.92
  5. Step 5: Solve for x
    x = 6,128,728,105.92/70,909.60
  6. Step 6: Final answer
    x = 86,430.16

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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.