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Finding the Fourth Proportional to 65,585.40, 98,378.64 and 40,697.88

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Solution

The fourth proportional to 65,585.40, 98,378.64 and 40,697.88 is: 61,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,585.40 : 98,378.64 = 40,697.88 : x
  2. Step 2: Convert to fraction form
    65,585.40/98,378.64 = 40,697.88/x
  3. Step 3: Cross multiply
    65,585.40x = 98,378.64 × 40,697.88
  4. Step 4: Simplify right side
    65,585.40x = 4,003,802,085.28
  5. Step 5: Solve for x
    x = 4,003,802,085.28/65,585.40
  6. Step 6: Final answer
    x = 61,047.16

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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.