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Finding the Fourth Proportional to 65,744.48, 98,602.32 and 18,987.20

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Solution

The fourth proportional to 65,744.48, 98,602.32 and 18,987.20 is: 28,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,744.48 : 98,602.32 = 18,987.20 : x
  2. Step 2: Convert to fraction form
    65,744.48/98,602.32 = 18,987.20/x
  3. Step 3: Cross multiply
    65,744.48x = 98,602.32 × 18,987.20
  4. Step 4: Simplify right side
    65,744.48x = 1,872,181,970.30
  5. Step 5: Solve for x
    x = 1,872,181,970.30/65,744.48
  6. Step 6: Final answer
    x = 28,476.64

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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.