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Finding the Fourth Proportional to 85,715.70, 128,594.08 and 35,768.01

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Solution

The fourth proportional to 85,715.70, 128,594.08 and 35,768.01 is: 53,660.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,715.70 : 128,594.08 = 35,768.01 : x
  2. Step 2: Convert to fraction form
    85,715.70/128,594.08 = 35,768.01/x
  3. Step 3: Cross multiply
    85,715.70x = 128,594.08 × 35,768.01
  4. Step 4: Simplify right side
    85,715.70x = 4,599,554,866.32
  5. Step 5: Solve for x
    x = 4,599,554,866.32/85,715.70
  6. Step 6: Final answer
    x = 53,660.59

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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.