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Finding the Fourth Proportional to 201,750.70, 302,510.85 and 83,281.90

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Solution

The fourth proportional to 201,750.70, 302,510.85 and 83,281.90 is: 124,875.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,750.70 : 302,510.85 = 83,281.90 : x
  2. Step 2: Convert to fraction form
    201,750.70/302,510.85 = 83,281.90/x
  3. Step 3: Cross multiply
    201,750.70x = 302,510.85 × 83,281.90
  4. Step 4: Simplify right side
    201,750.70x = 25,193,678,358.62
  5. Step 5: Solve for x
    x = 25,193,678,358.62/201,750.70
  6. Step 6: Final answer
    x = 124,875.30

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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.