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Finding the Fourth Proportional to 185,722.29, 256,312.62 and 105,164.01

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Solution

The fourth proportional to 185,722.29, 256,312.62 and 105,164.01 is: 145,135.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,722.29 : 256,312.62 = 105,164.01 : x
  2. Step 2: Convert to fraction form
    185,722.29/256,312.62 = 105,164.01/x
  3. Step 3: Cross multiply
    185,722.29x = 256,312.62 × 105,164.01
  4. Step 4: Simplify right side
    185,722.29x = 26,954,862,932.81
  5. Step 5: Solve for x
    x = 26,954,862,932.81/185,722.29
  6. Step 6: Final answer
    x = 145,135.31

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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.