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Finding the Fourth Proportional to 65,904.49, 98,855.92 and 15,985

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Solution

The fourth proportional to 65,904.49, 98,855.92 and 15,985 is: 23,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,904.49 : 98,855.92 = 15,985 : x
  2. Step 2: Convert to fraction form
    65,904.49/98,855.92 = 15,985/x
  3. Step 3: Cross multiply
    65,904.49x = 98,855.92 × 15,985
  4. Step 4: Simplify right side
    65,904.49x = 1,580,211,881.20
  5. Step 5: Solve for x
    x = 1,580,211,881.20/65,904.49
  6. Step 6: Final answer
    x = 23,977.30

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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.