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Finding the Fourth Proportional to 55,431.88, 83,147.88 and 13,878.88

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Solution

The fourth proportional to 55,431.88, 83,147.88 and 13,878.88 is: 20,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,431.88 : 83,147.88 = 13,878.88 : x
  2. Step 2: Convert to fraction form
    55,431.88/83,147.88 = 13,878.88/x
  3. Step 3: Cross multiply
    55,431.88x = 83,147.88 × 13,878.88
  4. Step 4: Simplify right side
    55,431.88x = 1,153,999,448.77
  5. Step 5: Solve for x
    x = 1,153,999,448.77/55,431.88
  6. Step 6: Final answer
    x = 20,818.34

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1.5x scale

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.