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Finding the Fourth Proportional to 82,765, 114,215.70 and 45,039.52

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Solution

The fourth proportional to 82,765, 114,215.70 and 45,039.52 is: 62,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,765 : 114,215.70 = 45,039.52 : x
  2. Step 2: Convert to fraction form
    82,765/114,215.70 = 45,039.52/x
  3. Step 3: Cross multiply
    82,765x = 114,215.70 × 45,039.52
  4. Step 4: Simplify right side
    82,765x = 5,144,220,304.46
  5. Step 5: Solve for x
    x = 5,144,220,304.46/82,765
  6. Step 6: Final answer
    x = 62,154.54

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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.