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Finding the Fourth Proportional to 119,332.78, 178,989.74 and 69,381

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Solution

The fourth proportional to 119,332.78, 178,989.74 and 69,381 is: 104,066.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,332.78 : 178,989.74 = 69,381 : x
  2. Step 2: Convert to fraction form
    119,332.78/178,989.74 = 69,381/x
  3. Step 3: Cross multiply
    119,332.78x = 178,989.74 × 69,381
  4. Step 4: Simplify right side
    119,332.78x = 12,418,487,150.94
  5. Step 5: Solve for x
    x = 12,418,487,150.94/119,332.78
  6. Step 6: Final answer
    x = 104,066.02

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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.