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Finding the Fourth Proportional to 32,438.40, 48,679.20 and 14,899.20

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Solution

The fourth proportional to 32,438.40, 48,679.20 and 14,899.20 is: 22,358.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,438.40 : 48,679.20 = 14,899.20 : x
  2. Step 2: Convert to fraction form
    32,438.40/48,679.20 = 14,899.20/x
  3. Step 3: Cross multiply
    32,438.40x = 48,679.20 × 14,899.20
  4. Step 4: Simplify right side
    32,438.40x = 725,281,136.64
  5. Step 5: Solve for x
    x = 725,281,136.64/32,438.40
  6. Step 6: Final answer
    x = 22,358.72

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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.