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Finding the Fourth Proportional to 142,612.38, 213,905.75 and 42,794.87

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Solution

The fourth proportional to 142,612.38, 213,905.75 and 42,794.87 is: 64,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,612.38 : 213,905.75 = 42,794.87 : x
  2. Step 2: Convert to fraction form
    142,612.38/213,905.75 = 42,794.87/x
  3. Step 3: Cross multiply
    142,612.38x = 213,905.75 × 42,794.87
  4. Step 4: Simplify right side
    142,612.38x = 9,154,067,480.00
  5. Step 5: Solve for x
    x = 9,154,067,480.00/142,612.38
  6. Step 6: Final answer
    x = 64,188.45

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1.5x scale

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.