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Finding the Fourth Proportional to 139,402.40, 209,111.62 and 39,554.78

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Solution

The fourth proportional to 139,402.40, 209,111.62 and 39,554.78 is: 59,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,402.40 : 209,111.62 = 39,554.78 : x
  2. Step 2: Convert to fraction form
    139,402.40/209,111.62 = 39,554.78/x
  3. Step 3: Cross multiply
    139,402.40x = 209,111.62 × 39,554.78
  4. Step 4: Simplify right side
    139,402.40x = 8,271,364,124.54
  5. Step 5: Solve for x
    x = 8,271,364,124.54/139,402.40
  6. Step 6: Final answer
    x = 59,334.45

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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.