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Finding the Fourth Proportional to 178,065.90, 266,710.64 and 89,164.34

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Solution

The fourth proportional to 178,065.90, 266,710.64 and 89,164.34 is: 133,552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,065.90 : 266,710.64 = 89,164.34 : x
  2. Step 2: Convert to fraction form
    178,065.90/266,710.64 = 89,164.34/x
  3. Step 3: Cross multiply
    178,065.90x = 266,710.64 × 89,164.34
  4. Step 4: Simplify right side
    178,065.90x = 23,781,078,186.58
  5. Step 5: Solve for x
    x = 23,781,078,186.58/178,065.90
  6. Step 6: Final answer
    x = 133,552.12

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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.