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Finding the Fourth Proportional to 138,966, 208,460.52 and 40,470

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Solution

The fourth proportional to 138,966, 208,460.52 and 40,470 is: 60,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,966 : 208,460.52 = 40,470 : x
  2. Step 2: Convert to fraction form
    138,966/208,460.52 = 40,470/x
  3. Step 3: Cross multiply
    138,966x = 208,460.52 × 40,470
  4. Step 4: Simplify right side
    138,966x = 8,436,397,244.40
  5. Step 5: Solve for x
    x = 8,436,397,244.40/138,966
  6. Step 6: Final answer
    x = 60,708.35

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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.