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Finding the Fourth Proportional to 144,782.51, 216,878.11 and 74,514.20

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Solution

The fourth proportional to 144,782.51, 216,878.11 and 74,514.20 is: 111,619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,782.51 : 216,878.11 = 74,514.20 : x
  2. Step 2: Convert to fraction form
    144,782.51/216,878.11 = 74,514.20/x
  3. Step 3: Cross multiply
    144,782.51x = 216,878.11 × 74,514.20
  4. Step 4: Simplify right side
    144,782.51x = 16,160,497,593.49
  5. Step 5: Solve for x
    x = 16,160,497,593.49/144,782.51
  6. Step 6: Final answer
    x = 111,619.13

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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.