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Finding the Fourth Proportional to 157,920, 217,929.60 and 87,264

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Solution

The fourth proportional to 157,920, 217,929.60 and 87,264 is: 120,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,920 : 217,929.60 = 87,264 : x
  2. Step 2: Convert to fraction form
    157,920/217,929.60 = 87,264/x
  3. Step 3: Cross multiply
    157,920x = 217,929.60 × 87,264
  4. Step 4: Simplify right side
    157,920x = 19,017,408,614.40
  5. Step 5: Solve for x
    x = 19,017,408,614.40/157,920
  6. Step 6: Final answer
    x = 120,424.32

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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.