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Finding the Fourth Proportional to 117,642.24, 162,413.84 and 77,472.64

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Solution

The fourth proportional to 117,642.24, 162,413.84 and 77,472.64 is: 106,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,642.24 : 162,413.84 = 77,472.64 : x
  2. Step 2: Convert to fraction form
    117,642.24/162,413.84 = 77,472.64/x
  3. Step 3: Cross multiply
    117,642.24x = 162,413.84 × 77,472.64
  4. Step 4: Simplify right side
    117,642.24x = 12,582,628,957.34
  5. Step 5: Solve for x
    x = 12,582,628,957.34/117,642.24
  6. Step 6: Final answer
    x = 106,956.73

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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.