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Finding the Fourth Proportional to 55,671.89, 76,827.42 and 30,178.31

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Solution

The fourth proportional to 55,671.89, 76,827.42 and 30,178.31 is: 41,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,671.89 : 76,827.42 = 30,178.31 : x
  2. Step 2: Convert to fraction form
    55,671.89/76,827.42 = 30,178.31/x
  3. Step 3: Cross multiply
    55,671.89x = 76,827.42 × 30,178.31
  4. Step 4: Simplify right side
    55,671.89x = 2,318,521,313.12
  5. Step 5: Solve for x
    x = 2,318,521,313.12/55,671.89
  6. Step 6: Final answer
    x = 41,646.18

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1.5x scale

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.