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Finding the Fourth Proportional to 103,616.40, 142,990.84 and 61,177.64

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Solution

The fourth proportional to 103,616.40, 142,990.84 and 61,177.64 is: 84,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,616.40 : 142,990.84 = 61,177.64 : x
  2. Step 2: Convert to fraction form
    103,616.40/142,990.84 = 61,177.64/x
  3. Step 3: Cross multiply
    103,616.40x = 142,990.84 × 61,177.64
  4. Step 4: Simplify right side
    103,616.40x = 8,747,842,132.82
  5. Step 5: Solve for x
    x = 8,747,842,132.82/103,616.40
  6. Step 6: Final answer
    x = 84,425.27

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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.