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Finding the Fourth Proportional to 72,451.84, 108,677.66 and 19,865.42

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Solution

The fourth proportional to 72,451.84, 108,677.66 and 19,865.42 is: 29,798.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,451.84 : 108,677.66 = 19,865.42 : x
  2. Step 2: Convert to fraction form
    72,451.84/108,677.66 = 19,865.42/x
  3. Step 3: Cross multiply
    72,451.84x = 108,677.66 × 19,865.42
  4. Step 4: Simplify right side
    72,451.84x = 2,158,927,360.52
  5. Step 5: Solve for x
    x = 2,158,927,360.52/72,451.84
  6. Step 6: Final answer
    x = 29,798.10

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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.