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Finding the Fourth Proportional to 135,396, 186,846.48 and 75,780

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Solution

The fourth proportional to 135,396, 186,846.48 and 75,780 is: 104,576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,396 : 186,846.48 = 75,780 : x
  2. Step 2: Convert to fraction form
    135,396/186,846.48 = 75,780/x
  3. Step 3: Cross multiply
    135,396x = 186,846.48 × 75,780
  4. Step 4: Simplify right side
    135,396x = 14,159,226,254.40
  5. Step 5: Solve for x
    x = 14,159,226,254.40/135,396
  6. Step 6: Final answer
    x = 104,576.40

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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.