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Finding the Fourth Proportional to 142,642.40, 213,963.60 and 76,056.80

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Solution

The fourth proportional to 142,642.40, 213,963.60 and 76,056.80 is: 114,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,642.40 : 213,963.60 = 76,056.80 : x
  2. Step 2: Convert to fraction form
    142,642.40/213,963.60 = 76,056.80/x
  3. Step 3: Cross multiply
    142,642.40x = 213,963.60 × 76,056.80
  4. Step 4: Simplify right side
    142,642.40x = 16,273,386,732.48
  5. Step 5: Solve for x
    x = 16,273,386,732.48/142,642.40
  6. Step 6: Final answer
    x = 114,085.20

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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.