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Finding the Fourth Proportional to 127,957.29, 191,929.02 and 39,211.05

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Solution

The fourth proportional to 127,957.29, 191,929.02 and 39,211.05 is: 58,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,957.29 : 191,929.02 = 39,211.05 : x
  2. Step 2: Convert to fraction form
    127,957.29/191,929.02 = 39,211.05/x
  3. Step 3: Cross multiply
    127,957.29x = 191,929.02 × 39,211.05
  4. Step 4: Simplify right side
    127,957.29x = 7,525,738,399.67
  5. Step 5: Solve for x
    x = 7,525,738,399.67/127,957.29
  6. Step 6: Final answer
    x = 58,814.46

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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.