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Finding the Fourth Proportional to 65,319, 97,987 and 18,573.09

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Solution

The fourth proportional to 65,319, 97,987 and 18,573.09 is: 27,862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,319 : 97,987 = 18,573.09 : x
  2. Step 2: Convert to fraction form
    65,319/97,987 = 18,573.09/x
  3. Step 3: Cross multiply
    65,319x = 97,987 × 18,573.09
  4. Step 4: Simplify right side
    65,319x = 1,819,921,369.83
  5. Step 5: Solve for x
    x = 1,819,921,369.83/65,319
  6. Step 6: Final answer
    x = 27,862.05

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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.