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Finding the Fourth Proportional to 142,924.80, 214,332.24 and 67,987.20

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Solution

The fourth proportional to 142,924.80, 214,332.24 and 67,987.20 is: 101,954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,924.80 : 214,332.24 = 67,987.20 : x
  2. Step 2: Convert to fraction form
    142,924.80/214,332.24 = 67,987.20/x
  3. Step 3: Cross multiply
    142,924.80x = 214,332.24 × 67,987.20
  4. Step 4: Simplify right side
    142,924.80x = 14,571,848,867.33
  5. Step 5: Solve for x
    x = 14,571,848,867.33/142,924.80
  6. Step 6: Final answer
    x = 101,954.66

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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.