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Finding the Fourth Proportional to 201,686.78, 302,632.23 and 83,442.98

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Solution

The fourth proportional to 201,686.78, 302,632.23 and 83,442.98 is: 125,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,686.78 : 302,632.23 = 83,442.98 : x
  2. Step 2: Convert to fraction form
    201,686.78/302,632.23 = 83,442.98/x
  3. Step 3: Cross multiply
    201,686.78x = 302,632.23 × 83,442.98
  4. Step 4: Simplify right side
    201,686.78x = 25,252,535,115.25
  5. Step 5: Solve for x
    x = 25,252,535,115.25/201,686.78
  6. Step 6: Final answer
    x = 125,206.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.