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Finding the Fourth Proportional to 72,083.79, 108,125.96 and 47,280.78

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Solution

The fourth proportional to 72,083.79, 108,125.96 and 47,280.78 is: 70,921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,083.79 : 108,125.96 = 47,280.78 : x
  2. Step 2: Convert to fraction form
    72,083.79/108,125.96 = 47,280.78/x
  3. Step 3: Cross multiply
    72,083.79x = 108,125.96 × 47,280.78
  4. Step 4: Simplify right side
    72,083.79x = 5,112,279,490.64
  5. Step 5: Solve for x
    x = 5,112,279,490.64/72,083.79
  6. Step 6: Final answer
    x = 70,921.35

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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.