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Finding the Fourth Proportional to 74,007, 102,132.09 and 40,473

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Solution

The fourth proportional to 74,007, 102,132.09 and 40,473 is: 55,854.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,007 : 102,132.09 = 40,473 : x
  2. Step 2: Convert to fraction form
    74,007/102,132.09 = 40,473/x
  3. Step 3: Cross multiply
    74,007x = 102,132.09 × 40,473
  4. Step 4: Simplify right side
    74,007x = 4,133,592,078.57
  5. Step 5: Solve for x
    x = 4,133,592,078.57/74,007
  6. Step 6: Final answer
    x = 55,854.07

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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.