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Finding the Fourth Proportional to 32,129.68, 48,152.76 and 12,388.72

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Solution

The fourth proportional to 32,129.68, 48,152.76 and 12,388.72 is: 18,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,129.68 : 48,152.76 = 12,388.72 : x
  2. Step 2: Convert to fraction form
    32,129.68/48,152.76 = 12,388.72/x
  3. Step 3: Cross multiply
    32,129.68x = 48,152.76 × 12,388.72
  4. Step 4: Simplify right side
    32,129.68x = 596,551,060.87
  5. Step 5: Solve for x
    x = 596,551,060.87/32,129.68
  6. Step 6: Final answer
    x = 18,566.98

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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.