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Finding the Fourth Proportional to 86,438.80, 129,704.64 and 83,293.36

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Solution

The fourth proportional to 86,438.80, 129,704.64 and 83,293.36 is: 124,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,438.80 : 129,704.64 = 83,293.36 : x
  2. Step 2: Convert to fraction form
    86,438.80/129,704.64 = 83,293.36/x
  3. Step 3: Cross multiply
    86,438.80x = 129,704.64 × 83,293.36
  4. Step 4: Simplify right side
    86,438.80x = 10,803,535,834.69
  5. Step 5: Solve for x
    x = 10,803,535,834.69/86,438.80
  6. Step 6: Final answer
    x = 124,984.80

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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.