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Finding the Fourth Proportional to 139,869.12, 209,599.56 and 69,651.84

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Solution

The fourth proportional to 139,869.12, 209,599.56 and 69,651.84 is: 104,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,869.12 : 209,599.56 = 69,651.84 : x
  2. Step 2: Convert to fraction form
    139,869.12/209,599.56 = 69,651.84/x
  3. Step 3: Cross multiply
    139,869.12x = 209,599.56 × 69,651.84
  4. Step 4: Simplify right side
    139,869.12x = 14,598,995,017.19
  5. Step 5: Solve for x
    x = 14,598,995,017.19/139,869.12
  6. Step 6: Final answer
    x = 104,376.11

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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.