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Finding the Fourth Proportional to 65,041.80, 97,541.94 and 20,658.17

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Solution

The fourth proportional to 65,041.80, 97,541.94 and 20,658.17 is: 30,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,041.80 : 97,541.94 = 20,658.17 : x
  2. Step 2: Convert to fraction form
    65,041.80/97,541.94 = 20,658.17/x
  3. Step 3: Cross multiply
    65,041.80x = 97,541.94 × 20,658.17
  4. Step 4: Simplify right side
    65,041.80x = 2,015,037,978.65
  5. Step 5: Solve for x
    x = 2,015,037,978.65/65,041.80
  6. Step 6: Final answer
    x = 30,980.66

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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.