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Finding the Fourth Proportional to 83,355.60, 115,039.88 and 53,142

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Solution

The fourth proportional to 83,355.60, 115,039.88 and 53,142 is: 73,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,355.60 : 115,039.88 = 53,142 : x
  2. Step 2: Convert to fraction form
    83,355.60/115,039.88 = 53,142/x
  3. Step 3: Cross multiply
    83,355.60x = 115,039.88 × 53,142
  4. Step 4: Simplify right side
    83,355.60x = 6,113,449,302.96
  5. Step 5: Solve for x
    x = 6,113,449,302.96/83,355.60
  6. Step 6: Final answer
    x = 73,341.79

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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.