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Finding the Fourth Proportional to 78,653.36, 107,931.10 and 71,525.36

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Solution

The fourth proportional to 78,653.36, 107,931.10 and 71,525.36 is: 98,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,653.36 : 107,931.10 = 71,525.36 : x
  2. Step 2: Convert to fraction form
    78,653.36/107,931.10 = 71,525.36/x
  3. Step 3: Cross multiply
    78,653.36x = 107,931.10 × 71,525.36
  4. Step 4: Simplify right side
    78,653.36x = 7,719,810,782.70
  5. Step 5: Solve for x
    x = 7,719,810,782.70/78,653.36
  6. Step 6: Final answer
    x = 98,149.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.