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Finding the Fourth Proportional to 30,543.72, 45,737.80 and 20,123.88

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Solution

The fourth proportional to 30,543.72, 45,737.80 and 20,123.88 is: 30,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543.72 : 45,737.80 = 20,123.88 : x
  2. Step 2: Convert to fraction form
    30,543.72/45,737.80 = 20,123.88/x
  3. Step 3: Cross multiply
    30,543.72x = 45,737.80 × 20,123.88
  4. Step 4: Simplify right side
    30,543.72x = 920,421,998.66
  5. Step 5: Solve for x
    x = 920,421,998.66/30,543.72
  6. Step 6: Final answer
    x = 30,134.57

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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.