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Finding the Fourth Proportional to 178,464.67, 246,276.80 and 101,978.90

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Solution

The fourth proportional to 178,464.67, 246,276.80 and 101,978.90 is: 140,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,464.67 : 246,276.80 = 101,978.90 : x
  2. Step 2: Convert to fraction form
    178,464.67/246,276.80 = 101,978.90/x
  3. Step 3: Cross multiply
    178,464.67x = 246,276.80 × 101,978.90
  4. Step 4: Simplify right side
    178,464.67x = 25,115,037,159.52
  5. Step 5: Solve for x
    x = 25,115,037,159.52/178,464.67
  6. Step 6: Final answer
    x = 140,728.34

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1.5x scale

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.