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Finding the Fourth Proportional to 128,868.34, 193,143.87 and 61,435.90

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Solution

The fourth proportional to 128,868.34, 193,143.87 and 61,435.90 is: 92,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,868.34 : 193,143.87 = 61,435.90 : x
  2. Step 2: Convert to fraction form
    128,868.34/193,143.87 = 61,435.90/x
  3. Step 3: Cross multiply
    128,868.34x = 193,143.87 × 61,435.90
  4. Step 4: Simplify right side
    128,868.34x = 11,865,967,482.93
  5. Step 5: Solve for x
    x = 11,865,967,482.93/128,868.34
  6. Step 6: Final answer
    x = 92,078.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.