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Finding the Fourth Proportional to 83,878.67, 115,795.43 and 64,715.42

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Solution

The fourth proportional to 83,878.67, 115,795.43 and 64,715.42 is: 89,340.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,878.67 : 115,795.43 = 64,715.42 : x
  2. Step 2: Convert to fraction form
    83,878.67/115,795.43 = 64,715.42/x
  3. Step 3: Cross multiply
    83,878.67x = 115,795.43 × 64,715.42
  4. Step 4: Simplify right side
    83,878.67x = 7,493,748,983.98
  5. Step 5: Solve for x
    x = 7,493,748,983.98/83,878.67
  6. Step 6: Final answer
    x = 89,340.35

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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.