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Finding the Fourth Proportional to 139,894.19, 209,841.28 and 34,713.16

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Solution

The fourth proportional to 139,894.19, 209,841.28 and 34,713.16 is: 52,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,894.19 : 209,841.28 = 34,713.16 : x
  2. Step 2: Convert to fraction form
    139,894.19/209,841.28 = 34,713.16/x
  3. Step 3: Cross multiply
    139,894.19x = 209,841.28 × 34,713.16
  4. Step 4: Simplify right side
    139,894.19x = 7,284,253,511.12
  5. Step 5: Solve for x
    x = 7,284,253,511.12/139,894.19
  6. Step 6: Final answer
    x = 52,069.74

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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.