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Finding the Fourth Proportional to 201,783.70, 302,545.95 and 83,502.10

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Solution

The fourth proportional to 201,783.70, 302,545.95 and 83,502.10 is: 125,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,783.70 : 302,545.95 = 83,502.10 : x
  2. Step 2: Convert to fraction form
    201,783.70/302,545.95 = 83,502.10/x
  3. Step 3: Cross multiply
    201,783.70x = 302,545.95 × 83,502.10
  4. Step 4: Simplify right side
    201,783.70x = 25,263,222,171.50
  5. Step 5: Solve for x
    x = 25,263,222,171.50/201,783.70
  6. Step 6: Final answer
    x = 125,199.52

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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.