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Finding the Fourth Proportional to 72,407.64, 108,543.36 and 39,077.76

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Solution

The fourth proportional to 72,407.64, 108,543.36 and 39,077.76 is: 58,579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,407.64 : 108,543.36 = 39,077.76 : x
  2. Step 2: Convert to fraction form
    72,407.64/108,543.36 = 39,077.76/x
  3. Step 3: Cross multiply
    72,407.64x = 108,543.36 × 39,077.76
  4. Step 4: Simplify right side
    72,407.64x = 4,241,631,371.67
  5. Step 5: Solve for x
    x = 4,241,631,371.67/72,407.64
  6. Step 6: Final answer
    x = 58,579.89

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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.