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Finding the Fourth Proportional to 154,978.40, 231,884.40 and 102,490.40

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Solution

The fourth proportional to 154,978.40, 231,884.40 and 102,490.40 is: 153,349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,978.40 : 231,884.40 = 102,490.40 : x
  2. Step 2: Convert to fraction form
    154,978.40/231,884.40 = 102,490.40/x
  3. Step 3: Cross multiply
    154,978.40x = 231,884.40 × 102,490.40
  4. Step 4: Simplify right side
    154,978.40x = 23,765,924,909.76
  5. Step 5: Solve for x
    x = 23,765,924,909.76/154,978.40
  6. Step 6: Final answer
    x = 153,349.92

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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.