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Finding the Fourth Proportional to 123,187.20, 170,024.74 and 77,836.40

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Solution

The fourth proportional to 123,187.20, 170,024.74 and 77,836.40 is: 107,430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,187.20 : 170,024.74 = 77,836.40 : x
  2. Step 2: Convert to fraction form
    123,187.20/170,024.74 = 77,836.40/x
  3. Step 3: Cross multiply
    123,187.20x = 170,024.74 × 77,836.40
  4. Step 4: Simplify right side
    123,187.20x = 13,234,113,672.54
  5. Step 5: Solve for x
    x = 13,234,113,672.54/123,187.20
  6. Step 6: Final answer
    x = 107,430.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.