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Finding the Fourth Proportional to 83,875.34, 115,748.89 and 45,635.10

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Solution

The fourth proportional to 83,875.34, 115,748.89 and 45,635.10 is: 62,976.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,875.34 : 115,748.89 = 45,635.10 : x
  2. Step 2: Convert to fraction form
    83,875.34/115,748.89 = 45,635.10/x
  3. Step 3: Cross multiply
    83,875.34x = 115,748.89 × 45,635.10
  4. Step 4: Simplify right side
    83,875.34x = 5,282,212,170.04
  5. Step 5: Solve for x
    x = 5,282,212,170.04/83,875.34
  6. Step 6: Final answer
    x = 62,976.94

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