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Finding the Fourth Proportional to 65,690.16, 98,538.64 and 31,987.20

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Solution

The fourth proportional to 65,690.16, 98,538.64 and 31,987.20 is: 47,982.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,690.16 : 98,538.64 = 31,987.20 : x
  2. Step 2: Convert to fraction form
    65,690.16/98,538.64 = 31,987.20/x
  3. Step 3: Cross multiply
    65,690.16x = 98,538.64 × 31,987.20
  4. Step 4: Simplify right side
    65,690.16x = 3,151,975,185.41
  5. Step 5: Solve for x
    x = 3,151,975,185.41/65,690.16
  6. Step 6: Final answer
    x = 47,982.46

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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.