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Finding the Fourth Proportional to 65,787.48, 98,695.80 and 30,708

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Solution

The fourth proportional to 65,787.48, 98,695.80 and 30,708 is: 46,068.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,787.48 : 98,695.80 = 30,708 : x
  2. Step 2: Convert to fraction form
    65,787.48/98,695.80 = 30,708/x
  3. Step 3: Cross multiply
    65,787.48x = 98,695.80 × 30,708
  4. Step 4: Simplify right side
    65,787.48x = 3,030,750,626.40
  5. Step 5: Solve for x
    x = 3,030,750,626.40/65,787.48
  6. Step 6: Final answer
    x = 46,068.81

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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.