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Finding the Fourth Proportional to 72,314.66, 108,471.36 and 19,724.06

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Solution

The fourth proportional to 72,314.66, 108,471.36 and 19,724.06 is: 29,585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,314.66 : 108,471.36 = 19,724.06 : x
  2. Step 2: Convert to fraction form
    72,314.66/108,471.36 = 19,724.06/x
  3. Step 3: Cross multiply
    72,314.66x = 108,471.36 × 19,724.06
  4. Step 4: Simplify right side
    72,314.66x = 2,139,495,612.92
  5. Step 5: Solve for x
    x = 2,139,495,612.92/72,314.66
  6. Step 6: Final answer
    x = 29,585.92

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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.