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Finding the Fourth Proportional to 139,888.12, 209,897.70 and 69,772.84

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Solution

The fourth proportional to 139,888.12, 209,897.70 and 69,772.84 is: 104,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,888.12 : 209,897.70 = 69,772.84 : x
  2. Step 2: Convert to fraction form
    139,888.12/209,897.70 = 69,772.84/x
  3. Step 3: Cross multiply
    139,888.12x = 209,897.70 × 69,772.84
  4. Step 4: Simplify right side
    139,888.12x = 14,645,158,638.47
  5. Step 5: Solve for x
    x = 14,645,158,638.47/139,888.12
  6. Step 6: Final answer
    x = 104,691.94

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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.