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Finding the Fourth Proportional to 142,484.40, 214,114.80 and 75,972.48

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Solution

The fourth proportional to 142,484.40, 214,114.80 and 75,972.48 is: 114,165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,484.40 : 214,114.80 = 75,972.48 : x
  2. Step 2: Convert to fraction form
    142,484.40/214,114.80 = 75,972.48/x
  3. Step 3: Cross multiply
    142,484.40x = 214,114.80 × 75,972.48
  4. Step 4: Simplify right side
    142,484.40x = 16,266,832,360.70
  5. Step 5: Solve for x
    x = 16,266,832,360.70/142,484.40
  6. Step 6: Final answer
    x = 114,165.71

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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.