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Finding the Fourth Proportional to 127,457.80, 191,186.70 and 106,721.80

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Solution

The fourth proportional to 127,457.80, 191,186.70 and 106,721.80 is: 160,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,457.80 : 191,186.70 = 106,721.80 : x
  2. Step 2: Convert to fraction form
    127,457.80/191,186.70 = 106,721.80/x
  3. Step 3: Cross multiply
    127,457.80x = 191,186.70 × 106,721.80
  4. Step 4: Simplify right side
    127,457.80x = 20,403,788,760.06
  5. Step 5: Solve for x
    x = 20,403,788,760.06/127,457.80
  6. Step 6: Final answer
    x = 160,082.70

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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.