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Finding the Fourth Proportional to 75,281, 112,929.06 and 19,877

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Solution

The fourth proportional to 75,281, 112,929.06 and 19,877 is: 29,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,281 : 112,929.06 = 19,877 : x
  2. Step 2: Convert to fraction form
    75,281/112,929.06 = 19,877/x
  3. Step 3: Cross multiply
    75,281x = 112,929.06 × 19,877
  4. Step 4: Simplify right side
    75,281x = 2,244,690,925.62
  5. Step 5: Solve for x
    x = 2,244,690,925.62/75,281
  6. Step 6: Final answer
    x = 29,817.50

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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.