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Finding the Fourth Proportional to 150,850, 208,191.36 and 87,188.32

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Solution

The fourth proportional to 150,850, 208,191.36 and 87,188.32 is: 120,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,850 : 208,191.36 = 87,188.32 : x
  2. Step 2: Convert to fraction form
    150,850/208,191.36 = 87,188.32/x
  3. Step 3: Cross multiply
    150,850x = 208,191.36 × 87,188.32
  4. Step 4: Simplify right side
    150,850x = 18,151,854,916.92
  5. Step 5: Solve for x
    x = 18,151,854,916.92/150,850
  6. Step 6: Final answer
    x = 120,330.49

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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.