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Finding the Fourth Proportional to 65,367.80, 98,038.78 and 17,970.66

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Solution

The fourth proportional to 65,367.80, 98,038.78 and 17,970.66 is: 26,952.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,367.80 : 98,038.78 = 17,970.66 : x
  2. Step 2: Convert to fraction form
    65,367.80/98,038.78 = 17,970.66/x
  3. Step 3: Cross multiply
    65,367.80x = 98,038.78 × 17,970.66
  4. Step 4: Simplify right side
    65,367.80x = 1,761,821,582.19
  5. Step 5: Solve for x
    x = 1,761,821,582.19/65,367.80
  6. Step 6: Final answer
    x = 26,952.44

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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.