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Finding the Fourth Proportional to 177,902.40, 266,999.40 and 172,070.40

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Solution

The fourth proportional to 177,902.40, 266,999.40 and 172,070.40 is: 258,246.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,902.40 : 266,999.40 = 172,070.40 : x
  2. Step 2: Convert to fraction form
    177,902.40/266,999.40 = 172,070.40/x
  3. Step 3: Cross multiply
    177,902.40x = 266,999.40 × 172,070.40
  4. Step 4: Simplify right side
    177,902.40x = 45,942,693,557.76
  5. Step 5: Solve for x
    x = 45,942,693,557.76/177,902.40
  6. Step 6: Final answer
    x = 258,246.62

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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.