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Finding the Fourth Proportional to 99,031.86, 136,660.14 and 53,709.03

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Solution

The fourth proportional to 99,031.86, 136,660.14 and 53,709.03 is: 74,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,031.86 : 136,660.14 = 53,709.03 : x
  2. Step 2: Convert to fraction form
    99,031.86/136,660.14 = 53,709.03/x
  3. Step 3: Cross multiply
    99,031.86x = 136,660.14 × 53,709.03
  4. Step 4: Simplify right side
    99,031.86x = 7,339,883,559.06
  5. Step 5: Solve for x
    x = 7,339,883,559.06/99,031.86
  6. Step 6: Final answer
    x = 74,116.39

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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.