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Finding the Fourth Proportional to 99,363.84, 137,132.16 and 56,928

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Solution

The fourth proportional to 99,363.84, 137,132.16 and 56,928 is: 78,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,363.84 : 137,132.16 = 56,928 : x
  2. Step 2: Convert to fraction form
    99,363.84/137,132.16 = 56,928/x
  3. Step 3: Cross multiply
    99,363.84x = 137,132.16 × 56,928
  4. Step 4: Simplify right side
    99,363.84x = 7,806,659,604.48
  5. Step 5: Solve for x
    x = 7,806,659,604.48/99,363.84
  6. Step 6: Final answer
    x = 78,566.40

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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.