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Finding the Fourth Proportional to 65,420, 98,130.96 and 18,672.86

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Solution

The fourth proportional to 65,420, 98,130.96 and 18,672.86 is: 28,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,420 : 98,130.96 = 18,672.86 : x
  2. Step 2: Convert to fraction form
    65,420/98,130.96 = 18,672.86/x
  3. Step 3: Cross multiply
    65,420x = 98,130.96 × 18,672.86
  4. Step 4: Simplify right side
    65,420x = 1,832,385,677.75
  5. Step 5: Solve for x
    x = 1,832,385,677.75/65,420
  6. Step 6: Final answer
    x = 28,009.56

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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.