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Finding the Fourth Proportional to 43,737.60, 65,606.40 and 31,987.20

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Solution

The fourth proportional to 43,737.60, 65,606.40 and 31,987.20 is: 47,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,737.60 : 65,606.40 = 31,987.20 : x
  2. Step 2: Convert to fraction form
    43,737.60/65,606.40 = 31,987.20/x
  3. Step 3: Cross multiply
    43,737.60x = 65,606.40 × 31,987.20
  4. Step 4: Simplify right side
    43,737.60x = 2,098,565,038.08
  5. Step 5: Solve for x
    x = 2,098,565,038.08/43,737.60
  6. Step 6: Final answer
    x = 47,980.80

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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.