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Finding the Fourth Proportional to 139,506.73, 209,228.56 and 39,664.74

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Solution

The fourth proportional to 139,506.73, 209,228.56 and 39,664.74 is: 59,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,506.73 : 209,228.56 = 39,664.74 : x
  2. Step 2: Convert to fraction form
    139,506.73/209,228.56 = 39,664.74/x
  3. Step 3: Cross multiply
    139,506.73x = 209,228.56 × 39,664.74
  4. Step 4: Simplify right side
    139,506.73x = 8,298,996,432.97
  5. Step 5: Solve for x
    x = 8,298,996,432.97/139,506.73
  6. Step 6: Final answer
    x = 59,488.14

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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.