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Finding the Fourth Proportional to 103,119.50, 142,304.92 and 58,407.50

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Solution

The fourth proportional to 103,119.50, 142,304.92 and 58,407.50 is: 80,602.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,119.50 : 142,304.92 = 58,407.50 : x
  2. Step 2: Convert to fraction form
    103,119.50/142,304.92 = 58,407.50/x
  3. Step 3: Cross multiply
    103,119.50x = 142,304.92 × 58,407.50
  4. Step 4: Simplify right side
    103,119.50x = 8,311,674,614.90
  5. Step 5: Solve for x
    x = 8,311,674,614.90/103,119.50
  6. Step 6: Final answer
    x = 80,602.36

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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.