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Finding the Fourth Proportional to 65,695.80, 98,430.30 and 30,563.40

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Solution

The fourth proportional to 65,695.80, 98,430.30 and 30,563.40 is: 45,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,695.80 : 98,430.30 = 30,563.40 : x
  2. Step 2: Convert to fraction form
    65,695.80/98,430.30 = 30,563.40/x
  3. Step 3: Cross multiply
    65,695.80x = 98,430.30 × 30,563.40
  4. Step 4: Simplify right side
    65,695.80x = 3,008,364,631.02
  5. Step 5: Solve for x
    x = 3,008,364,631.02/65,695.80
  6. Step 6: Final answer
    x = 45,792.34

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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.