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Finding the Fourth Proportional to 159,143.80, 238,715.70 and 74,851.56

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Solution

The fourth proportional to 159,143.80, 238,715.70 and 74,851.56 is: 112,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,143.80 : 238,715.70 = 74,851.56 : x
  2. Step 2: Convert to fraction form
    159,143.80/238,715.70 = 74,851.56/x
  3. Step 3: Cross multiply
    159,143.80x = 238,715.70 × 74,851.56
  4. Step 4: Simplify right side
    159,143.80x = 17,868,242,541.49
  5. Step 5: Solve for x
    x = 17,868,242,541.49/159,143.80
  6. Step 6: Final answer
    x = 112,277.34

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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.