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Finding the Fourth Proportional to 102,478.56, 153,725.76 and 39,328.92

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Solution

The fourth proportional to 102,478.56, 153,725.76 and 39,328.92 is: 58,996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,478.56 : 153,725.76 = 39,328.92 : x
  2. Step 2: Convert to fraction form
    102,478.56/153,725.76 = 39,328.92/x
  3. Step 3: Cross multiply
    102,478.56x = 153,725.76 × 39,328.92
  4. Step 4: Simplify right side
    102,478.56x = 6,045,868,116.98
  5. Step 5: Solve for x
    x = 6,045,868,116.98/102,478.56
  6. Step 6: Final answer
    x = 58,996.42

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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.