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Finding the Fourth Proportional to 55,152, 76,104 and 31,271.04

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Solution

The fourth proportional to 55,152, 76,104 and 31,271.04 is: 43,150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,152 : 76,104 = 31,271.04 : x
  2. Step 2: Convert to fraction form
    55,152/76,104 = 31,271.04/x
  3. Step 3: Cross multiply
    55,152x = 76,104 × 31,271.04
  4. Step 4: Simplify right side
    55,152x = 2,379,851,228.16
  5. Step 5: Solve for x
    x = 2,379,851,228.16/55,152
  6. Step 6: Final answer
    x = 43,150.77

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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.