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Finding the Fourth Proportional to 114,177.76, 157,715.90 and 87,648.10

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Solution

The fourth proportional to 114,177.76, 157,715.90 and 87,648.10 is: 121,069.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,177.76 : 157,715.90 = 87,648.10 : x
  2. Step 2: Convert to fraction form
    114,177.76/157,715.90 = 87,648.10/x
  3. Step 3: Cross multiply
    114,177.76x = 157,715.90 × 87,648.10
  4. Step 4: Simplify right side
    114,177.76x = 13,823,498,974.79
  5. Step 5: Solve for x
    x = 13,823,498,974.79/114,177.76
  6. Step 6: Final answer
    x = 121,069.98

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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.