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Finding the Fourth Proportional to 55,868.76, 77,128.74 and 34,666.20

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Solution

The fourth proportional to 55,868.76, 77,128.74 and 34,666.20 is: 47,857.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,868.76 : 77,128.74 = 34,666.20 : x
  2. Step 2: Convert to fraction form
    55,868.76/77,128.74 = 34,666.20/x
  3. Step 3: Cross multiply
    55,868.76x = 77,128.74 × 34,666.20
  4. Step 4: Simplify right side
    55,868.76x = 2,673,760,326.59
  5. Step 5: Solve for x
    x = 2,673,760,326.59/55,868.76
  6. Step 6: Final answer
    x = 47,857.88

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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.