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Finding the Fourth Proportional to 78,006.10, 117,009.15 and 38,640.10

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Solution

The fourth proportional to 78,006.10, 117,009.15 and 38,640.10 is: 57,960.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,006.10 : 117,009.15 = 38,640.10 : x
  2. Step 2: Convert to fraction form
    78,006.10/117,009.15 = 38,640.10/x
  3. Step 3: Cross multiply
    78,006.10x = 117,009.15 × 38,640.10
  4. Step 4: Simplify right side
    78,006.10x = 4,521,245,256.92
  5. Step 5: Solve for x
    x = 4,521,245,256.92/78,006.10
  6. Step 6: Final answer
    x = 57,960.15

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Similar ratio
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1.5x scale

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.