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Finding the Fourth Proportional to 40,055.79, 55,277.35 and 22,152

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Solution

The fourth proportional to 40,055.79, 55,277.35 and 22,152 is: 30,569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,055.79 : 55,277.35 = 22,152 : x
  2. Step 2: Convert to fraction form
    40,055.79/55,277.35 = 22,152/x
  3. Step 3: Cross multiply
    40,055.79x = 55,277.35 × 22,152
  4. Step 4: Simplify right side
    40,055.79x = 1,224,503,746.44
  5. Step 5: Solve for x
    x = 1,224,503,746.44/40,055.79
  6. Step 6: Final answer
    x = 30,569.96

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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.