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Finding the Fourth Proportional to 147,010.98, 202,989.40 and 112,965.78

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Solution

The fourth proportional to 147,010.98, 202,989.40 and 112,965.78 is: 155,980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,010.98 : 202,989.40 = 112,965.78 : x
  2. Step 2: Convert to fraction form
    147,010.98/202,989.40 = 112,965.78/x
  3. Step 3: Cross multiply
    147,010.98x = 202,989.40 × 112,965.78
  4. Step 4: Simplify right side
    147,010.98x = 22,930,855,902.73
  5. Step 5: Solve for x
    x = 22,930,855,902.73/147,010.98
  6. Step 6: Final answer
    x = 155,980.57

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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.