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Finding the Fourth Proportional to 201,760.77, 278,463.15 and 153,923.79

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Solution

The fourth proportional to 201,760.77, 278,463.15 and 153,923.79 is: 212,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,760.77 : 278,463.15 = 153,923.79 : x
  2. Step 2: Convert to fraction form
    201,760.77/278,463.15 = 153,923.79/x
  3. Step 3: Cross multiply
    201,760.77x = 278,463.15 × 153,923.79
  4. Step 4: Simplify right side
    201,760.77x = 42,862,103,423.34
  5. Step 5: Solve for x
    x = 42,862,103,423.34/201,760.77
  6. Step 6: Final answer
    x = 212,440.23

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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.