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Finding the Fourth Proportional to 201,387.20, 302,071.20 and 68,254.40

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Solution

The fourth proportional to 201,387.20, 302,071.20 and 68,254.40 is: 102,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,387.20 : 302,071.20 = 68,254.40 : x
  2. Step 2: Convert to fraction form
    201,387.20/302,071.20 = 68,254.40/x
  3. Step 3: Cross multiply
    201,387.20x = 302,071.20 × 68,254.40
  4. Step 4: Simplify right side
    201,387.20x = 20,617,688,513.28
  5. Step 5: Solve for x
    x = 20,617,688,513.28/201,387.20
  6. Step 6: Final answer
    x = 102,378.35

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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.