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Finding the Fourth Proportional to 201,911.04, 302,909.76 and 61,680

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Solution

The fourth proportional to 201,911.04, 302,909.76 and 61,680 is: 92,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,911.04 : 302,909.76 = 61,680 : x
  2. Step 2: Convert to fraction form
    201,911.04/302,909.76 = 61,680/x
  3. Step 3: Cross multiply
    201,911.04x = 302,909.76 × 61,680
  4. Step 4: Simplify right side
    201,911.04x = 18,683,473,996.80
  5. Step 5: Solve for x
    x = 18,683,473,996.80/201,911.04
  6. Step 6: Final answer
    x = 92,533.20

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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.