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Finding the Fourth Proportional to 138,110.40, 190,490.40 and 102,301.92

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Solution

The fourth proportional to 138,110.40, 190,490.40 and 102,301.92 is: 141,101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,110.40 : 190,490.40 = 102,301.92 : x
  2. Step 2: Convert to fraction form
    138,110.40/190,490.40 = 102,301.92/x
  3. Step 3: Cross multiply
    138,110.40x = 190,490.40 × 102,301.92
  4. Step 4: Simplify right side
    138,110.40x = 19,487,533,661.57
  5. Step 5: Solve for x
    x = 19,487,533,661.57/138,110.40
  6. Step 6: Final answer
    x = 141,101.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.