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Finding the Fourth Proportional to 72,719.70, 109,036.35 and 37,727.70

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Solution

The fourth proportional to 72,719.70, 109,036.35 and 37,727.70 is: 56,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,719.70 : 109,036.35 = 37,727.70 : x
  2. Step 2: Convert to fraction form
    72,719.70/109,036.35 = 37,727.70/x
  3. Step 3: Cross multiply
    72,719.70x = 109,036.35 × 37,727.70
  4. Step 4: Simplify right side
    72,719.70x = 4,113,690,701.90
  5. Step 5: Solve for x
    x = 4,113,690,701.90/72,719.70
  6. Step 6: Final answer
    x = 56,569.14

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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.