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Finding the Fourth Proportional to 127,275, 190,864.48 and 102,253.56

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Solution

The fourth proportional to 127,275, 190,864.48 and 102,253.56 is: 153,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,275 : 190,864.48 = 102,253.56 : x
  2. Step 2: Convert to fraction form
    127,275/190,864.48 = 102,253.56/x
  3. Step 3: Cross multiply
    127,275x = 190,864.48 × 102,253.56
  4. Step 4: Simplify right side
    127,275x = 19,516,572,557.55
  5. Step 5: Solve for x
    x = 19,516,572,557.55/127,275
  6. Step 6: Final answer
    x = 153,341.76

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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.