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Finding the Fourth Proportional to 175,603.40, 263,405.10 and 86,919.20

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Solution

The fourth proportional to 175,603.40, 263,405.10 and 86,919.20 is: 130,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,603.40 : 263,405.10 = 86,919.20 : x
  2. Step 2: Convert to fraction form
    175,603.40/263,405.10 = 86,919.20/x
  3. Step 3: Cross multiply
    175,603.40x = 263,405.10 × 86,919.20
  4. Step 4: Simplify right side
    175,603.40x = 22,894,960,567.92
  5. Step 5: Solve for x
    x = 22,894,960,567.92/175,603.40
  6. Step 6: Final answer
    x = 130,378.80

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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.