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Finding the Fourth Proportional to 157,336.40, 236,078.40 and 78,456.77

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Solution

The fourth proportional to 157,336.40, 236,078.40 and 78,456.77 is: 117,721.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,336.40 : 236,078.40 = 78,456.77 : x
  2. Step 2: Convert to fraction form
    157,336.40/236,078.40 = 78,456.77/x
  3. Step 3: Cross multiply
    157,336.40x = 236,078.40 × 78,456.77
  4. Step 4: Simplify right side
    157,336.40x = 18,521,949,517.11
  5. Step 5: Solve for x
    x = 18,521,949,517.11/157,336.40
  6. Step 6: Final answer
    x = 117,721.96

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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.