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Finding the Fourth Proportional to 123,677.90, 185,298.15 and 104,869.70

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Solution

The fourth proportional to 123,677.90, 185,298.15 and 104,869.70 is: 157,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,677.90 : 185,298.15 = 104,869.70 : x
  2. Step 2: Convert to fraction form
    123,677.90/185,298.15 = 104,869.70/x
  3. Step 3: Cross multiply
    123,677.90x = 185,298.15 × 104,869.70
  4. Step 4: Simplify right side
    123,677.90x = 19,432,161,401.06
  5. Step 5: Solve for x
    x = 19,432,161,401.06/123,677.90
  6. Step 6: Final answer
    x = 157,119.11

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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.