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Finding the Fourth Proportional to 177,400.30, 266,100.45 and 142,408.30

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Solution

The fourth proportional to 177,400.30, 266,100.45 and 142,408.30 is: 213,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,400.30 : 266,100.45 = 142,408.30 : x
  2. Step 2: Convert to fraction form
    177,400.30/266,100.45 = 142,408.30/x
  3. Step 3: Cross multiply
    177,400.30x = 266,100.45 × 142,408.30
  4. Step 4: Simplify right side
    177,400.30x = 37,894,912,713.74
  5. Step 5: Solve for x
    x = 37,894,912,713.74/177,400.30
  6. Step 6: Final answer
    x = 213,612.45

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1.5x scale

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.