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Finding the Fourth Proportional to 138,969, 208,465.02 and 40,473

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Solution

The fourth proportional to 138,969, 208,465.02 and 40,473 is: 60,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,969 : 208,465.02 = 40,473 : x
  2. Step 2: Convert to fraction form
    138,969/208,465.02 = 40,473/x
  3. Step 3: Cross multiply
    138,969x = 208,465.02 × 40,473
  4. Step 4: Simplify right side
    138,969x = 8,437,204,754.46
  5. Step 5: Solve for x
    x = 8,437,204,754.46/138,969
  6. Step 6: Final answer
    x = 60,712.86

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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.