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Finding the Fourth Proportional to 185,300.72, 255,714 and 100,417.04

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Solution

The fourth proportional to 185,300.72, 255,714 and 100,417.04 is: 138,574.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,300.72 : 255,714 = 100,417.04 : x
  2. Step 2: Convert to fraction form
    185,300.72/255,714 = 100,417.04/x
  3. Step 3: Cross multiply
    185,300.72x = 255,714 × 100,417.04
  4. Step 4: Simplify right side
    185,300.72x = 25,678,042,966.56
  5. Step 5: Solve for x
    x = 25,678,042,966.56/185,300.72
  6. Step 6: Final answer
    x = 138,574.98

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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.