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Finding the Fourth Proportional to 147,041.70, 202,954.57 and 83,417.70

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Solution

The fourth proportional to 147,041.70, 202,954.57 and 83,417.70 is: 115,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,041.70 : 202,954.57 = 83,417.70 : x
  2. Step 2: Convert to fraction form
    147,041.70/202,954.57 = 83,417.70/x
  3. Step 3: Cross multiply
    147,041.70x = 202,954.57 × 83,417.70
  4. Step 4: Simplify right side
    147,041.70x = 16,930,003,433.89
  5. Step 5: Solve for x
    x = 16,930,003,433.89/147,041.70
  6. Step 6: Final answer
    x = 115,137.43

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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.