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Finding the Fourth Proportional to 186,029.80, 256,718.10 and 101,149

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Solution

The fourth proportional to 186,029.80, 256,718.10 and 101,149 is: 139,583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,029.80 : 256,718.10 = 101,149 : x
  2. Step 2: Convert to fraction form
    186,029.80/256,718.10 = 101,149/x
  3. Step 3: Cross multiply
    186,029.80x = 256,718.10 × 101,149
  4. Step 4: Simplify right side
    186,029.80x = 25,966,779,096.90
  5. Step 5: Solve for x
    x = 25,966,779,096.90/186,029.80
  6. Step 6: Final answer
    x = 139,583.98

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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.