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Finding the Fourth Proportional to 142,120.35, 213,143.40 and 42,253.65

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Solution

The fourth proportional to 142,120.35, 213,143.40 and 42,253.65 is: 63,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,120.35 : 213,143.40 = 42,253.65 : x
  2. Step 2: Convert to fraction form
    142,120.35/213,143.40 = 42,253.65/x
  3. Step 3: Cross multiply
    142,120.35x = 213,143.40 × 42,253.65
  4. Step 4: Simplify right side
    142,120.35x = 9,006,086,623.41
  5. Step 5: Solve for x
    x = 9,006,086,623.41/142,120.35
  6. Step 6: Final answer
    x = 63,369.44

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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.