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Finding the Fourth Proportional to 152,147.66, 209,893.02 and 98,450

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Solution

The fourth proportional to 152,147.66, 209,893.02 and 98,450 is: 135,815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,147.66 : 209,893.02 = 98,450 : x
  2. Step 2: Convert to fraction form
    152,147.66/209,893.02 = 98,450/x
  3. Step 3: Cross multiply
    152,147.66x = 209,893.02 × 98,450
  4. Step 4: Simplify right side
    152,147.66x = 20,663,967,819
  5. Step 5: Solve for x
    x = 20,663,967,819/152,147.66
  6. Step 6: Final answer
    x = 135,815.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.