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Finding the Fourth Proportional to 90,930.40, 136,308.11 and 46,578.04

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Solution

The fourth proportional to 90,930.40, 136,308.11 and 46,578.04 is: 69,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,930.40 : 136,308.11 = 46,578.04 : x
  2. Step 2: Convert to fraction form
    90,930.40/136,308.11 = 46,578.04/x
  3. Step 3: Cross multiply
    90,930.40x = 136,308.11 × 46,578.04
  4. Step 4: Simplify right side
    90,930.40x = 6,348,964,599.90
  5. Step 5: Solve for x
    x = 6,348,964,599.90/90,930.40
  6. Step 6: Final answer
    x = 69,822.24

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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.