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Finding the Fourth Proportional to 282,104.32, 423,144.96 and 115,888

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Solution

The fourth proportional to 282,104.32, 423,144.96 and 115,888 is: 173,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,104.32 : 423,144.96 = 115,888 : x
  2. Step 2: Convert to fraction form
    282,104.32/423,144.96 = 115,888/x
  3. Step 3: Cross multiply
    282,104.32x = 423,144.96 × 115,888
  4. Step 4: Simplify right side
    282,104.32x = 49,037,423,124.48
  5. Step 5: Solve for x
    x = 49,037,423,124.48/282,104.32
  6. Step 6: Final answer
    x = 173,827.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.