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Finding the Fourth Proportional to 65,403, 98,105.42 and 18,655.88

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Solution

The fourth proportional to 65,403, 98,105.42 and 18,655.88 is: 27,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,403 : 98,105.42 = 18,655.88 : x
  2. Step 2: Convert to fraction form
    65,403/98,105.42 = 18,655.88/x
  3. Step 3: Cross multiply
    65,403x = 98,105.42 × 18,655.88
  4. Step 4: Simplify right side
    65,403x = 1,830,242,498.98
  5. Step 5: Solve for x
    x = 1,830,242,498.98/65,403
  6. Step 6: Final answer
    x = 27,984.08

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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.