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Finding the Fourth Proportional to 65,203.58, 89,976.02 and 39,707.15

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Solution

The fourth proportional to 65,203.58, 89,976.02 and 39,707.15 is: 54,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,203.58 : 89,976.02 = 39,707.15 : x
  2. Step 2: Convert to fraction form
    65,203.58/89,976.02 = 39,707.15/x
  3. Step 3: Cross multiply
    65,203.58x = 89,976.02 × 39,707.15
  4. Step 4: Simplify right side
    65,203.58x = 3,572,690,674.13
  5. Step 5: Solve for x
    x = 3,572,690,674.13/65,203.58
  6. Step 6: Final answer
    x = 54,792.86

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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.