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Finding the Fourth Proportional to 85,730.49, 119,020.75 and 83,164.41

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Solution

The fourth proportional to 85,730.49, 119,020.75 and 83,164.41 is: 115,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,730.49 : 119,020.75 = 83,164.41 : x
  2. Step 2: Convert to fraction form
    85,730.49/119,020.75 = 83,164.41/x
  3. Step 3: Cross multiply
    85,730.49x = 119,020.75 × 83,164.41
  4. Step 4: Simplify right side
    85,730.49x = 9,898,290,243.60
  5. Step 5: Solve for x
    x = 9,898,290,243.60/85,730.49
  6. Step 6: Final answer
    x = 115,458.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.