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Finding the Fourth Proportional to 114,400, 157,878.48 and 64,115.20

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Solution

The fourth proportional to 114,400, 157,878.48 and 64,115.20 is: 88,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,400 : 157,878.48 = 64,115.20 : x
  2. Step 2: Convert to fraction form
    114,400/157,878.48 = 64,115.20/x
  3. Step 3: Cross multiply
    114,400x = 157,878.48 × 64,115.20
  4. Step 4: Simplify right side
    114,400x = 10,122,410,320.90
  5. Step 5: Solve for x
    x = 10,122,410,320.90/114,400
  6. Step 6: Final answer
    x = 88,482.61

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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.