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Finding the Fourth Proportional to 127,290, 190,887 and 102,268.56

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Solution

The fourth proportional to 127,290, 190,887 and 102,268.56 is: 153,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,290 : 190,887 = 102,268.56 : x
  2. Step 2: Convert to fraction form
    127,290/190,887 = 102,268.56/x
  3. Step 3: Cross multiply
    127,290x = 190,887 × 102,268.56
  4. Step 4: Simplify right side
    127,290x = 19,521,738,612.72
  5. Step 5: Solve for x
    x = 19,521,738,612.72/127,290
  6. Step 6: Final answer
    x = 153,364.28

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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.