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Finding the Fourth Proportional to 142,710.40, 214,065.60 and 87,414.40

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Solution

The fourth proportional to 142,710.40, 214,065.60 and 87,414.40 is: 131,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,710.40 : 214,065.60 = 87,414.40 : x
  2. Step 2: Convert to fraction form
    142,710.40/214,065.60 = 87,414.40/x
  3. Step 3: Cross multiply
    142,710.40x = 214,065.60 × 87,414.40
  4. Step 4: Simplify right side
    142,710.40x = 18,712,415,984.64
  5. Step 5: Solve for x
    x = 18,712,415,984.64/142,710.40
  6. Step 6: Final answer
    x = 131,121.60

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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.