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Finding the Fourth Proportional to 127,164, 190,746 and 39,612

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Solution

The fourth proportional to 127,164, 190,746 and 39,612 is: 59,418

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,164 : 190,746 = 39,612 : x
  2. Step 2: Convert to fraction form
    127,164/190,746 = 39,612/x
  3. Step 3: Cross multiply
    127,164x = 190,746 × 39,612
  4. Step 4: Simplify right side
    127,164x = 7,555,830,552
  5. Step 5: Solve for x
    x = 7,555,830,552/127,164
  6. Step 6: Final answer
    x = 59,418

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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.