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Finding the Fourth Proportional to 151,726.50, 209,382.57 and 84,658.50

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Solution

The fourth proportional to 151,726.50, 209,382.57 and 84,658.50 is: 116,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,726.50 : 209,382.57 = 84,658.50 : x
  2. Step 2: Convert to fraction form
    151,726.50/209,382.57 = 84,658.50/x
  3. Step 3: Cross multiply
    151,726.50x = 209,382.57 × 84,658.50
  4. Step 4: Simplify right side
    151,726.50x = 17,726,014,302.35
  5. Step 5: Solve for x
    x = 17,726,014,302.35/151,726.50
  6. Step 6: Final answer
    x = 116,828.73

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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.