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Finding the Fourth Proportional to 185,642.55, 256,173.84 and 105,068.07

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Solution

The fourth proportional to 185,642.55, 256,173.84 and 105,068.07 is: 144,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,642.55 : 256,173.84 = 105,068.07 : x
  2. Step 2: Convert to fraction form
    185,642.55/256,173.84 = 105,068.07/x
  3. Step 3: Cross multiply
    185,642.55x = 256,173.84 × 105,068.07
  4. Step 4: Simplify right side
    185,642.55x = 26,915,690,953.29
  5. Step 5: Solve for x
    x = 26,915,690,953.29/185,642.55
  6. Step 6: Final answer
    x = 144,986.65

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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.