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Finding the Fourth Proportional to 126,420.80, 189,657.60 and 42,177.60

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Solution

The fourth proportional to 126,420.80, 189,657.60 and 42,177.60 is: 63,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,420.80 : 189,657.60 = 42,177.60 : x
  2. Step 2: Convert to fraction form
    126,420.80/189,657.60 = 42,177.60/x
  3. Step 3: Cross multiply
    126,420.80x = 189,657.60 × 42,177.60
  4. Step 4: Simplify right side
    126,420.80x = 7,999,302,389.76
  5. Step 5: Solve for x
    x = 7,999,302,389.76/126,420.80
  6. Step 6: Final answer
    x = 63,275.21

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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.