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Finding the Fourth Proportional to 115,721.65, 173,656.19 and 77,339.80

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Solution

The fourth proportional to 115,721.65, 173,656.19 and 77,339.80 is: 116,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,721.65 : 173,656.19 = 77,339.80 : x
  2. Step 2: Convert to fraction form
    115,721.65/173,656.19 = 77,339.80/x
  3. Step 3: Cross multiply
    115,721.65x = 173,656.19 × 77,339.80
  4. Step 4: Simplify right side
    115,721.65x = 13,430,535,003.36
  5. Step 5: Solve for x
    x = 13,430,535,003.36/115,721.65
  6. Step 6: Final answer
    x = 116,058.97

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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.