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Finding the Fourth Proportional to 243,129.12, 364,693.76 and 65,635.96

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Solution

The fourth proportional to 243,129.12, 364,693.76 and 65,635.96 is: 98,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,129.12 : 364,693.76 = 65,635.96 : x
  2. Step 2: Convert to fraction form
    243,129.12/364,693.76 = 65,635.96/x
  3. Step 3: Cross multiply
    243,129.12x = 364,693.76 × 65,635.96
  4. Step 4: Simplify right side
    243,129.12x = 23,937,025,043.61
  5. Step 5: Solve for x
    x = 23,937,025,043.61/243,129.12
  6. Step 6: Final answer
    x = 98,453.96

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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.