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Finding the Fourth Proportional to 178,061.80, 266,963.10 and 72,826.60

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Solution

The fourth proportional to 178,061.80, 266,963.10 and 72,826.60 is: 109,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,061.80 : 266,963.10 = 72,826.60 : x
  2. Step 2: Convert to fraction form
    178,061.80/266,963.10 = 72,826.60/x
  3. Step 3: Cross multiply
    178,061.80x = 266,963.10 × 72,826.60
  4. Step 4: Simplify right side
    178,061.80x = 19,442,014,898.46
  5. Step 5: Solve for x
    x = 19,442,014,898.46/178,061.80
  6. Step 6: Final answer
    x = 109,186.89

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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.