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Finding the Fourth Proportional to 175,355.70, 263,206.35 and 86,709.30

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Solution

The fourth proportional to 175,355.70, 263,206.35 and 86,709.30 is: 130,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,355.70 : 263,206.35 = 86,709.30 : x
  2. Step 2: Convert to fraction form
    175,355.70/263,206.35 = 86,709.30/x
  3. Step 3: Cross multiply
    175,355.70x = 263,206.35 × 86,709.30
  4. Step 4: Simplify right side
    175,355.70x = 22,822,438,364.06
  5. Step 5: Solve for x
    x = 22,822,438,364.06/175,355.70
  6. Step 6: Final answer
    x = 130,149.40

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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.