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Finding the Fourth Proportional to 157,180, 216,908.40 and 86,524

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Solution

The fourth proportional to 157,180, 216,908.40 and 86,524 is: 119,403.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,180 : 216,908.40 = 86,524 : x
  2. Step 2: Convert to fraction form
    157,180/216,908.40 = 86,524/x
  3. Step 3: Cross multiply
    157,180x = 216,908.40 × 86,524
  4. Step 4: Simplify right side
    157,180x = 18,767,782,401.60
  5. Step 5: Solve for x
    x = 18,767,782,401.60/157,180
  6. Step 6: Final answer
    x = 119,403.12

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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.