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Finding the Fourth Proportional to 201,728.80, 302,483.85 and 83,266.30

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Solution

The fourth proportional to 201,728.80, 302,483.85 and 83,266.30 is: 124,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,728.80 : 302,483.85 = 83,266.30 : x
  2. Step 2: Convert to fraction form
    201,728.80/302,483.85 = 83,266.30/x
  3. Step 3: Cross multiply
    201,728.80x = 302,483.85 × 83,266.30
  4. Step 4: Simplify right side
    201,728.80x = 25,186,710,999.26
  5. Step 5: Solve for x
    x = 25,186,710,999.26/201,728.80
  6. Step 6: Final answer
    x = 124,854.31

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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.