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Finding the Fourth Proportional to 144,266, 216,396.12 and 65,365.52

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Solution

The fourth proportional to 144,266, 216,396.12 and 65,365.52 is: 98,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,266 : 216,396.12 = 65,365.52 : x
  2. Step 2: Convert to fraction form
    144,266/216,396.12 = 65,365.52/x
  3. Step 3: Cross multiply
    144,266x = 216,396.12 × 65,365.52
  4. Step 4: Simplify right side
    144,266x = 14,144,844,909.78
  5. Step 5: Solve for x
    x = 14,144,844,909.78/144,266
  6. Step 6: Final answer
    x = 98,046.98

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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.