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Finding the Fourth Proportional to 55,784, 83,680.80 and 14,230.88

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Solution

The fourth proportional to 55,784, 83,680.80 and 14,230.88 is: 21,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,784 : 83,680.80 = 14,230.88 : x
  2. Step 2: Convert to fraction form
    55,784/83,680.80 = 14,230.88/x
  3. Step 3: Cross multiply
    55,784x = 83,680.80 × 14,230.88
  4. Step 4: Simplify right side
    55,784x = 1,190,851,423.10
  5. Step 5: Solve for x
    x = 1,190,851,423.10/55,784
  6. Step 6: Final answer
    x = 21,347.54

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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.