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Finding the Fourth Proportional to 150,511.65, 207,715.40 and 83,443.65

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Solution

The fourth proportional to 150,511.65, 207,715.40 and 83,443.65 is: 115,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,511.65 : 207,715.40 = 83,443.65 : x
  2. Step 2: Convert to fraction form
    150,511.65/207,715.40 = 83,443.65/x
  3. Step 3: Cross multiply
    150,511.65x = 207,715.40 × 83,443.65
  4. Step 4: Simplify right side
    150,511.65x = 17,332,530,719.99
  5. Step 5: Solve for x
    x = 17,332,530,719.99/150,511.65
  6. Step 6: Final answer
    x = 115,157.40

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1.5x scale

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.