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Finding the Fourth Proportional to 78,302.66, 108,057.95 and 42,492.65

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Solution

The fourth proportional to 78,302.66, 108,057.95 and 42,492.65 is: 58,640.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,302.66 : 108,057.95 = 42,492.65 : x
  2. Step 2: Convert to fraction form
    78,302.66/108,057.95 = 42,492.65/x
  3. Step 3: Cross multiply
    78,302.66x = 108,057.95 × 42,492.65
  4. Step 4: Simplify right side
    78,302.66x = 4,591,667,896.31
  5. Step 5: Solve for x
    x = 4,591,667,896.31/78,302.66
  6. Step 6: Final answer
    x = 58,640.00

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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.