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Finding the Fourth Proportional to 115,686.54, 173,331.54 and 77,664.60

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Solution

The fourth proportional to 115,686.54, 173,331.54 and 77,664.60 is: 116,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,686.54 : 173,331.54 = 77,664.60 : x
  2. Step 2: Convert to fraction form
    115,686.54/173,331.54 = 77,664.60/x
  3. Step 3: Cross multiply
    115,686.54x = 173,331.54 × 77,664.60
  4. Step 4: Simplify right side
    115,686.54x = 13,461,724,721.48
  5. Step 5: Solve for x
    x = 13,461,724,721.48/115,686.54
  6. Step 6: Final answer
    x = 116,363.79

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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.