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Finding the Fourth Proportional to 65,013.12, 97,508.64 and 18,255

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Solution

The fourth proportional to 65,013.12, 97,508.64 and 18,255 is: 27,379.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,013.12 : 97,508.64 = 18,255 : x
  2. Step 2: Convert to fraction form
    65,013.12/97,508.64 = 18,255/x
  3. Step 3: Cross multiply
    65,013.12x = 97,508.64 × 18,255
  4. Step 4: Simplify right side
    65,013.12x = 1,780,020,223.20
  5. Step 5: Solve for x
    x = 1,780,020,223.20/65,013.12
  6. Step 6: Final answer
    x = 27,379.40

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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.