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Finding the Fourth Proportional to 185,704.29, 256,287.78 and 105,146.01

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Solution

The fourth proportional to 185,704.29, 256,287.78 and 105,146.01 is: 145,110.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,704.29 : 256,287.78 = 105,146.01 : x
  2. Step 2: Convert to fraction form
    185,704.29/256,287.78 = 105,146.01/x
  3. Step 3: Cross multiply
    185,704.29x = 256,287.78 × 105,146.01
  4. Step 4: Simplify right side
    185,704.29x = 26,947,637,478.76
  5. Step 5: Solve for x
    x = 26,947,637,478.76/185,704.29
  6. Step 6: Final answer
    x = 145,110.47

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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.