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Finding the Fourth Proportional to 83,160, 114,763.32 and 45,436.68

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Solution

The fourth proportional to 83,160, 114,763.32 and 45,436.68 is: 62,704.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,160 : 114,763.32 = 45,436.68 : x
  2. Step 2: Convert to fraction form
    83,160/114,763.32 = 45,436.68/x
  3. Step 3: Cross multiply
    83,160x = 114,763.32 × 45,436.68
  4. Step 4: Simplify right side
    83,160x = 5,214,464,246.58
  5. Step 5: Solve for x
    x = 5,214,464,246.58/83,160
  6. Step 6: Final answer
    x = 62,704.00

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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.