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Finding the Fourth Proportional to 83,040, 114,647.04 and 53,283.84

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Solution

The fourth proportional to 83,040, 114,647.04 and 53,283.84 is: 73,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,040 : 114,647.04 = 53,283.84 : x
  2. Step 2: Convert to fraction form
    83,040/114,647.04 = 53,283.84/x
  3. Step 3: Cross multiply
    83,040x = 114,647.04 × 53,283.84
  4. Step 4: Simplify right side
    83,040x = 6,108,834,535.83
  5. Step 5: Solve for x
    x = 6,108,834,535.83/83,040
  6. Step 6: Final answer
    x = 73,564.96

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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.