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Finding the Fourth Proportional to 150,890.96, 208,206.40 and 87,216.48

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Solution

The fourth proportional to 150,890.96, 208,206.40 and 87,216.48 is: 120,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,890.96 : 208,206.40 = 87,216.48 : x
  2. Step 2: Convert to fraction form
    150,890.96/208,206.40 = 87,216.48/x
  3. Step 3: Cross multiply
    150,890.96x = 208,206.40 × 87,216.48
  4. Step 4: Simplify right side
    150,890.96x = 18,159,029,321.47
  5. Step 5: Solve for x
    x = 18,159,029,321.47/150,890.96
  6. Step 6: Final answer
    x = 120,345.38

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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.