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Finding the Fourth Proportional to 61,340.74, 92,000.78 and 19,787.74

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Solution

The fourth proportional to 61,340.74, 92,000.78 and 19,787.74 is: 29,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,340.74 : 92,000.78 = 19,787.74 : x
  2. Step 2: Convert to fraction form
    61,340.74/92,000.78 = 19,787.74/x
  3. Step 3: Cross multiply
    61,340.74x = 92,000.78 × 19,787.74
  4. Step 4: Simplify right side
    61,340.74x = 1,820,487,514.44
  5. Step 5: Solve for x
    x = 1,820,487,514.44/61,340.74
  6. Step 6: Final answer
    x = 29,678.28

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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.