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Finding the Fourth Proportional to 102,404.80, 153,607.20 and 66,975.40

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Solution

The fourth proportional to 102,404.80, 153,607.20 and 66,975.40 is: 100,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,404.80 : 153,607.20 = 66,975.40 : x
  2. Step 2: Convert to fraction form
    102,404.80/153,607.20 = 66,975.40/x
  3. Step 3: Cross multiply
    102,404.80x = 153,607.20 × 66,975.40
  4. Step 4: Simplify right side
    102,404.80x = 10,287,903,662.88
  5. Step 5: Solve for x
    x = 10,287,903,662.88/102,404.80
  6. Step 6: Final answer
    x = 100,463.10

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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.