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Finding the Fourth Proportional to 142,144.94, 212,691.27 and 113,978.90

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Solution

The fourth proportional to 142,144.94, 212,691.27 and 113,978.90 is: 170,546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,144.94 : 212,691.27 = 113,978.90 : x
  2. Step 2: Convert to fraction form
    142,144.94/212,691.27 = 113,978.90/x
  3. Step 3: Cross multiply
    142,144.94x = 212,691.27 × 113,978.90
  4. Step 4: Simplify right side
    142,144.94x = 24,242,316,994.20
  5. Step 5: Solve for x
    x = 24,242,316,994.20/142,144.94
  6. Step 6: Final answer
    x = 170,546.46

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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.