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Finding the Fourth Proportional to 99,473, 137,272.74 and 57,045.56

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Solution

The fourth proportional to 99,473, 137,272.74 and 57,045.56 is: 78,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,473 : 137,272.74 = 57,045.56 : x
  2. Step 2: Convert to fraction form
    99,473/137,272.74 = 57,045.56/x
  3. Step 3: Cross multiply
    99,473x = 137,272.74 × 57,045.56
  4. Step 4: Simplify right side
    99,473x = 7,830,800,326.03
  5. Step 5: Solve for x
    x = 7,830,800,326.03/99,473
  6. Step 6: Final answer
    x = 78,722.87

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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.