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Finding the Fourth Proportional to 56,106, 77,427.36 and 30,954.96

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Solution

The fourth proportional to 56,106, 77,427.36 and 30,954.96 is: 42,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,106 : 77,427.36 = 30,954.96 : x
  2. Step 2: Convert to fraction form
    56,106/77,427.36 = 30,954.96/x
  3. Step 3: Cross multiply
    56,106x = 77,427.36 × 30,954.96
  4. Step 4: Simplify right side
    56,106x = 2,396,760,831.71
  5. Step 5: Solve for x
    x = 2,396,760,831.71/56,106
  6. Step 6: Final answer
    x = 42,718.44

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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.