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Finding the Fourth Proportional to 48,312.85, 72,480.05 and 19,849.81

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Solution

The fourth proportional to 48,312.85, 72,480.05 and 19,849.81 is: 29,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,312.85 : 72,480.05 = 19,849.81 : x
  2. Step 2: Convert to fraction form
    48,312.85/72,480.05 = 19,849.81/x
  3. Step 3: Cross multiply
    48,312.85x = 72,480.05 × 19,849.81
  4. Step 4: Simplify right side
    48,312.85x = 1,438,715,221.29
  5. Step 5: Solve for x
    x = 1,438,715,221.29/48,312.85
  6. Step 6: Final answer
    x = 29,779.14

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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.