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Finding the Fourth Proportional to 55,776, 83,668.80 and 14,222.88

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Solution

The fourth proportional to 55,776, 83,668.80 and 14,222.88 is: 21,335.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,776 : 83,668.80 = 14,222.88 : x
  2. Step 2: Convert to fraction form
    55,776/83,668.80 = 14,222.88/x
  3. Step 3: Cross multiply
    55,776x = 83,668.80 × 14,222.88
  4. Step 4: Simplify right side
    55,776x = 1,190,011,302.14
  5. Step 5: Solve for x
    x = 1,190,011,302.14/55,776
  6. Step 6: Final answer
    x = 21,335.54

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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.