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Finding the Fourth Proportional to 85,464.68, 128,190.84 and 37,438.16

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Solution

The fourth proportional to 85,464.68, 128,190.84 and 37,438.16 is: 56,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,464.68 : 128,190.84 = 37,438.16 : x
  2. Step 2: Convert to fraction form
    85,464.68/128,190.84 = 37,438.16/x
  3. Step 3: Cross multiply
    85,464.68x = 128,190.84 × 37,438.16
  4. Step 4: Simplify right side
    85,464.68x = 4,799,229,498.93
  5. Step 5: Solve for x
    x = 4,799,229,498.93/85,464.68
  6. Step 6: Final answer
    x = 56,154.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.