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Finding the Fourth Proportional to 129,640, 194,460 and 42,088

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Solution

The fourth proportional to 129,640, 194,460 and 42,088 is: 63,132

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,640 : 194,460 = 42,088 : x
  2. Step 2: Convert to fraction form
    129,640/194,460 = 42,088/x
  3. Step 3: Cross multiply
    129,640x = 194,460 × 42,088
  4. Step 4: Simplify right side
    129,640x = 8,184,432,480
  5. Step 5: Solve for x
    x = 8,184,432,480/129,640
  6. Step 6: Final answer
    x = 63,132

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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.