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Finding the Fourth Proportional to 123,690.98, 185,411.84 and 48,782.18

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Solution

The fourth proportional to 123,690.98, 185,411.84 and 48,782.18 is: 73,124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,690.98 : 185,411.84 = 48,782.18 : x
  2. Step 2: Convert to fraction form
    123,690.98/185,411.84 = 48,782.18/x
  3. Step 3: Cross multiply
    123,690.98x = 185,411.84 × 48,782.18
  4. Step 4: Simplify right side
    123,690.98x = 9,044,793,972.63
  5. Step 5: Solve for x
    x = 9,044,793,972.63/123,690.98
  6. Step 6: Final answer
    x = 73,124.12

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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.