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Finding the Fourth Proportional to 65,131.80, 97,730.10 and 25,690.20

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Solution

The fourth proportional to 65,131.80, 97,730.10 and 25,690.20 is: 38,548.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,131.80 : 97,730.10 = 25,690.20 : x
  2. Step 2: Convert to fraction form
    65,131.80/97,730.10 = 25,690.20/x
  3. Step 3: Cross multiply
    65,131.80x = 97,730.10 × 25,690.20
  4. Step 4: Simplify right side
    65,131.80x = 2,510,705,815.02
  5. Step 5: Solve for x
    x = 2,510,705,815.02/65,131.80
  6. Step 6: Final answer
    x = 38,548.08

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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.