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Finding the Fourth Proportional to 204,897.80, 282,658.66 and 136,931.60

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Solution

The fourth proportional to 204,897.80, 282,658.66 and 136,931.60 is: 188,898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,897.80 : 282,658.66 = 136,931.60 : x
  2. Step 2: Convert to fraction form
    204,897.80/282,658.66 = 136,931.60/x
  3. Step 3: Cross multiply
    204,897.80x = 282,658.66 × 136,931.60
  4. Step 4: Simplify right side
    204,897.80x = 38,704,900,812.03
  5. Step 5: Solve for x
    x = 38,704,900,812.03/204,897.80
  6. Step 6: Final answer
    x = 188,898.57

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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.