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Finding the Fourth Proportional to 83,315, 114,974.70 and 45,589.25

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Solution

The fourth proportional to 83,315, 114,974.70 and 45,589.25 is: 62,913.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,315 : 114,974.70 = 45,589.25 : x
  2. Step 2: Convert to fraction form
    83,315/114,974.70 = 45,589.25/x
  3. Step 3: Cross multiply
    83,315x = 114,974.70 × 45,589.25
  4. Step 4: Simplify right side
    83,315x = 5,241,610,341.98
  5. Step 5: Solve for x
    x = 5,241,610,341.98/83,315
  6. Step 6: Final answer
    x = 62,913.17

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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.