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Finding the Fourth Proportional to 74,504.43, 102,830.72 and 42,694.65

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Solution

The fourth proportional to 74,504.43, 102,830.72 and 42,694.65 is: 58,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,504.43 : 102,830.72 = 42,694.65 : x
  2. Step 2: Convert to fraction form
    74,504.43/102,830.72 = 42,694.65/x
  3. Step 3: Cross multiply
    74,504.43x = 102,830.72 × 42,694.65
  4. Step 4: Simplify right side
    74,504.43x = 4,390,321,386.17
  5. Step 5: Solve for x
    x = 4,390,321,386.17/74,504.43
  6. Step 6: Final answer
    x = 58,926.98

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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.