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Finding the Fourth Proportional to 144,398.07, 216,646.29 and 77,844.60

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Solution

The fourth proportional to 144,398.07, 216,646.29 and 77,844.60 is: 116,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,398.07 : 216,646.29 = 77,844.60 : x
  2. Step 2: Convert to fraction form
    144,398.07/216,646.29 = 77,844.60/x
  3. Step 3: Cross multiply
    144,398.07x = 216,646.29 × 77,844.60
  4. Step 4: Simplify right side
    144,398.07x = 16,864,743,786.53
  5. Step 5: Solve for x
    x = 16,864,743,786.53/144,398.07
  6. Step 6: Final answer
    x = 116,793.42

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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.