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Finding the Fourth Proportional to 99,302, 137,153.76 and 65,709.68

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Solution

The fourth proportional to 99,302, 137,153.76 and 65,709.68 is: 90,756.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,302 : 137,153.76 = 65,709.68 : x
  2. Step 2: Convert to fraction form
    99,302/137,153.76 = 65,709.68/x
  3. Step 3: Cross multiply
    99,302x = 137,153.76 × 65,709.68
  4. Step 4: Simplify right side
    99,302x = 9,012,329,680.40
  5. Step 5: Solve for x
    x = 9,012,329,680.40/99,302
  6. Step 6: Final answer
    x = 90,756.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.