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Finding the Fourth Proportional to 103,454.28, 142,767.06 and 58,742.28

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Solution

The fourth proportional to 103,454.28, 142,767.06 and 58,742.28 is: 81,064.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,454.28 : 142,767.06 = 58,742.28 : x
  2. Step 2: Convert to fraction form
    103,454.28/142,767.06 = 58,742.28/x
  3. Step 3: Cross multiply
    103,454.28x = 142,767.06 × 58,742.28
  4. Step 4: Simplify right side
    103,454.28x = 8,386,462,613.30
  5. Step 5: Solve for x
    x = 8,386,462,613.30/103,454.28
  6. Step 6: Final answer
    x = 81,064.43

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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.