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Finding the Fourth Proportional to 127,428, 191,165.07 and 52,506.48

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Solution

The fourth proportional to 127,428, 191,165.07 and 52,506.48 is: 78,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,428 : 191,165.07 = 52,506.48 : x
  2. Step 2: Convert to fraction form
    127,428/191,165.07 = 52,506.48/x
  3. Step 3: Cross multiply
    127,428x = 191,165.07 × 52,506.48
  4. Step 4: Simplify right side
    127,428x = 10,037,404,924.65
  5. Step 5: Solve for x
    x = 10,037,404,924.65/127,428
  6. Step 6: Final answer
    x = 78,769.23

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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.