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Finding the Fourth Proportional to 275,603.10, 413,307.45 and 98,115.90

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Solution

The fourth proportional to 275,603.10, 413,307.45 and 98,115.90 is: 147,139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,603.10 : 413,307.45 = 98,115.90 : x
  2. Step 2: Convert to fraction form
    275,603.10/413,307.45 = 98,115.90/x
  3. Step 3: Cross multiply
    275,603.10x = 413,307.45 × 98,115.90
  4. Step 4: Simplify right side
    275,603.10x = 40,552,032,433.46
  5. Step 5: Solve for x
    x = 40,552,032,433.46/275,603.10
  6. Step 6: Final answer
    x = 147,139.25

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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.