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Finding the Fourth Proportional to 150,822.68, 208,206.16 and 87,148.16

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Solution

The fourth proportional to 150,822.68, 208,206.16 and 87,148.16 is: 120,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,822.68 : 208,206.16 = 87,148.16 : x
  2. Step 2: Convert to fraction form
    150,822.68/208,206.16 = 87,148.16/x
  3. Step 3: Cross multiply
    150,822.68x = 208,206.16 × 87,148.16
  4. Step 4: Simplify right side
    150,822.68x = 18,144,783,744.67
  5. Step 5: Solve for x
    x = 18,144,783,744.67/150,822.68
  6. Step 6: Final answer
    x = 120,305.41

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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.