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Finding the Fourth Proportional to 103,488.32, 155,309.76 and 76,895.84

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Solution

The fourth proportional to 103,488.32, 155,309.76 and 76,895.84 is: 115,401.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,488.32 : 155,309.76 = 76,895.84 : x
  2. Step 2: Convert to fraction form
    103,488.32/155,309.76 = 76,895.84/x
  3. Step 3: Cross multiply
    103,488.32x = 155,309.76 × 76,895.84
  4. Step 4: Simplify right side
    103,488.32x = 11,942,674,455.40
  5. Step 5: Solve for x
    x = 11,942,674,455.40/103,488.32
  6. Step 6: Final answer
    x = 115,401.18

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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.