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Finding the Fourth Proportional to 142,293.68, 213,471.30 and 75,724.06

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Solution

The fourth proportional to 142,293.68, 213,471.30 and 75,724.06 is: 113,602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,293.68 : 213,471.30 = 75,724.06 : x
  2. Step 2: Convert to fraction form
    142,293.68/213,471.30 = 75,724.06/x
  3. Step 3: Cross multiply
    142,293.68x = 213,471.30 × 75,724.06
  4. Step 4: Simplify right side
    142,293.68x = 16,164,913,529.48
  5. Step 5: Solve for x
    x = 16,164,913,529.48/142,293.68
  6. Step 6: Final answer
    x = 113,602.47

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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.