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Finding the Fourth Proportional to 142,476.80, 213,734.40 and 49,011.20

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Solution

The fourth proportional to 142,476.80, 213,734.40 and 49,011.20 is: 73,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,476.80 : 213,734.40 = 49,011.20 : x
  2. Step 2: Convert to fraction form
    142,476.80/213,734.40 = 49,011.20/x
  3. Step 3: Cross multiply
    142,476.80x = 213,734.40 × 49,011.20
  4. Step 4: Simplify right side
    142,476.80x = 10,475,379,425.28
  5. Step 5: Solve for x
    x = 10,475,379,425.28/142,476.80
  6. Step 6: Final answer
    x = 73,523.40

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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.