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Finding the Fourth Proportional to 65,398.30, 98,097.48 and 30,318.82

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Solution

The fourth proportional to 65,398.30, 98,097.48 and 30,318.82 is: 45,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,398.30 : 98,097.48 = 30,318.82 : x
  2. Step 2: Convert to fraction form
    65,398.30/98,097.48 = 30,318.82/x
  3. Step 3: Cross multiply
    65,398.30x = 98,097.48 × 30,318.82
  4. Step 4: Simplify right side
    65,398.30x = 2,974,199,838.57
  5. Step 5: Solve for x
    x = 2,974,199,838.57/65,398.30
  6. Step 6: Final answer
    x = 45,478.24

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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.