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Finding the Fourth Proportional to 201,689.28, 302,635.98 and 83,445.48

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Solution

The fourth proportional to 201,689.28, 302,635.98 and 83,445.48 is: 125,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,689.28 : 302,635.98 = 83,445.48 : x
  2. Step 2: Convert to fraction form
    201,689.28/302,635.98 = 83,445.48/x
  3. Step 3: Cross multiply
    201,689.28x = 302,635.98 × 83,445.48
  4. Step 4: Simplify right side
    201,689.28x = 25,253,604,616.37
  5. Step 5: Solve for x
    x = 25,253,604,616.37/201,689.28
  6. Step 6: Final answer
    x = 125,210.45

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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.