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Finding the Fourth Proportional to 144,748, 199,752.24 and 81,085.78

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Solution

The fourth proportional to 144,748, 199,752.24 and 81,085.78 is: 111,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,748 : 199,752.24 = 81,085.78 : x
  2. Step 2: Convert to fraction form
    144,748/199,752.24 = 81,085.78/x
  3. Step 3: Cross multiply
    144,748x = 199,752.24 × 81,085.78
  4. Step 4: Simplify right side
    144,748x = 16,197,066,187.15
  5. Step 5: Solve for x
    x = 16,197,066,187.15/144,748
  6. Step 6: Final answer
    x = 111,898.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.