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Finding the Fourth Proportional to 150,804.70, 207,995.15 and 102,443.92

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Solution

The fourth proportional to 150,804.70, 207,995.15 and 102,443.92 is: 141,294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,804.70 : 207,995.15 = 102,443.92 : x
  2. Step 2: Convert to fraction form
    150,804.70/207,995.15 = 102,443.92/x
  3. Step 3: Cross multiply
    150,804.70x = 207,995.15 × 102,443.92
  4. Step 4: Simplify right side
    150,804.70x = 21,307,838,506.99
  5. Step 5: Solve for x
    x = 21,307,838,506.99/150,804.70
  6. Step 6: Final answer
    x = 141,294.26

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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.