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Finding the Fourth Proportional to 155,698.16, 214,864.11 and 87,715.94

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Solution

The fourth proportional to 155,698.16, 214,864.11 and 87,715.94 is: 121,048.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,698.16 : 214,864.11 = 87,715.94 : x
  2. Step 2: Convert to fraction form
    155,698.16/214,864.11 = 87,715.94/x
  3. Step 3: Cross multiply
    155,698.16x = 214,864.11 × 87,715.94
  4. Step 4: Simplify right side
    155,698.16x = 18,847,006,306.59
  5. Step 5: Solve for x
    x = 18,847,006,306.59/155,698.16
  6. Step 6: Final answer
    x = 121,048.36

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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.