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Finding the Fourth Proportional to 150,919.84, 208,295.04 and 87,296.32

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Solution

The fourth proportional to 150,919.84, 208,295.04 and 87,296.32 is: 120,483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,919.84 : 208,295.04 = 87,296.32 : x
  2. Step 2: Convert to fraction form
    150,919.84/208,295.04 = 87,296.32/x
  3. Step 3: Cross multiply
    150,919.84x = 208,295.04 × 87,296.32
  4. Step 4: Simplify right side
    150,919.84x = 18,183,390,466.25
  5. Step 5: Solve for x
    x = 18,183,390,466.25/150,919.84
  6. Step 6: Final answer
    x = 120,483.76

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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.