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Finding the Fourth Proportional to 147,098.97, 220,648.45 and 102,812.22

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Solution

The fourth proportional to 147,098.97, 220,648.45 and 102,812.22 is: 154,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,098.97 : 220,648.45 = 102,812.22 : x
  2. Step 2: Convert to fraction form
    147,098.97/220,648.45 = 102,812.22/x
  3. Step 3: Cross multiply
    147,098.97x = 220,648.45 × 102,812.22
  4. Step 4: Simplify right side
    147,098.97x = 22,685,356,984.06
  5. Step 5: Solve for x
    x = 22,685,356,984.06/147,098.97
  6. Step 6: Final answer
    x = 154,218.33

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1.5x scale

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.