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Finding the Fourth Proportional to 77,628.68, 116,431.68 and 38,175.20

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Solution

The fourth proportional to 77,628.68, 116,431.68 and 38,175.20 is: 57,257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,628.68 : 116,431.68 = 38,175.20 : x
  2. Step 2: Convert to fraction form
    77,628.68/116,431.68 = 38,175.20/x
  3. Step 3: Cross multiply
    77,628.68x = 116,431.68 × 38,175.20
  4. Step 4: Simplify right side
    77,628.68x = 4,444,802,670.34
  5. Step 5: Solve for x
    x = 4,444,802,670.34/77,628.68
  6. Step 6: Final answer
    x = 57,257.22

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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.