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Finding the Fourth Proportional to 106,548, 147,040.92 and 61,240.56

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Solution

The fourth proportional to 106,548, 147,040.92 and 61,240.56 is: 84,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,548 : 147,040.92 = 61,240.56 : x
  2. Step 2: Convert to fraction form
    106,548/147,040.92 = 61,240.56/x
  3. Step 3: Cross multiply
    106,548x = 147,040.92 × 61,240.56
  4. Step 4: Simplify right side
    106,548x = 9,004,868,283.72
  5. Step 5: Solve for x
    x = 9,004,868,283.72/106,548
  6. Step 6: Final answer
    x = 84,514.66

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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.