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Finding the Fourth Proportional to 151,065.20, 208,472.40 and 83,085.20

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Solution

The fourth proportional to 151,065.20, 208,472.40 and 83,085.20 is: 114,658.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,065.20 : 208,472.40 = 83,085.20 : x
  2. Step 2: Convert to fraction form
    151,065.20/208,472.40 = 83,085.20/x
  3. Step 3: Cross multiply
    151,065.20x = 208,472.40 × 83,085.20
  4. Step 4: Simplify right side
    151,065.20x = 17,320,971,048.48
  5. Step 5: Solve for x
    x = 17,320,971,048.48/151,065.20
  6. Step 6: Final answer
    x = 114,658.91

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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.