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Finding the Fourth Proportional to 85,358.16, 128,064.64 and 35,462.16

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Solution

The fourth proportional to 85,358.16, 128,064.64 and 35,462.16 is: 53,204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,358.16 : 128,064.64 = 35,462.16 : x
  2. Step 2: Convert to fraction form
    85,358.16/128,064.64 = 35,462.16/x
  3. Step 3: Cross multiply
    85,358.16x = 128,064.64 × 35,462.16
  4. Step 4: Simplify right side
    85,358.16x = 4,541,448,754.02
  5. Step 5: Solve for x
    x = 4,541,448,754.02/85,358.16
  6. Step 6: Final answer
    x = 53,204.62

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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.