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Finding the Fourth Proportional to 243,978.16, 336,725.34 and 140,592.32

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Solution

The fourth proportional to 243,978.16, 336,725.34 and 140,592.32 is: 194,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,978.16 : 336,725.34 = 140,592.32 : x
  2. Step 2: Convert to fraction form
    243,978.16/336,725.34 = 140,592.32/x
  3. Step 3: Cross multiply
    243,978.16x = 336,725.34 × 140,592.32
  4. Step 4: Simplify right side
    243,978.16x = 47,340,996,753.39
  5. Step 5: Solve for x
    x = 47,340,996,753.39/243,978.16
  6. Step 6: Final answer
    x = 194,037.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.