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Finding the Fourth Proportional to 150,466.50, 207,643.80 and 83,398.50

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Solution

The fourth proportional to 150,466.50, 207,643.80 and 83,398.50 is: 115,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,466.50 : 207,643.80 = 83,398.50 : x
  2. Step 2: Convert to fraction form
    150,466.50/207,643.80 = 83,398.50/x
  3. Step 3: Cross multiply
    150,466.50x = 207,643.80 × 83,398.50
  4. Step 4: Simplify right side
    150,466.50x = 17,317,181,454.30
  5. Step 5: Solve for x
    x = 17,317,181,454.30/150,466.50
  6. Step 6: Final answer
    x = 115,089.95

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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.