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Finding the Fourth Proportional to 142,829.79, 214,244.98 and 36,213.71

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Solution

The fourth proportional to 142,829.79, 214,244.98 and 36,213.71 is: 54,320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,829.79 : 214,244.98 = 36,213.71 : x
  2. Step 2: Convert to fraction form
    142,829.79/214,244.98 = 36,213.71/x
  3. Step 3: Cross multiply
    142,829.79x = 214,244.98 × 36,213.71
  4. Step 4: Simplify right side
    142,829.79x = 7,758,604,412.92
  5. Step 5: Solve for x
    x = 7,758,604,412.92/142,829.79
  6. Step 6: Final answer
    x = 54,320.63

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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.