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Finding the Fourth Proportional to 160,408.10, 240,784.95 and 90,424.10

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Solution

The fourth proportional to 160,408.10, 240,784.95 and 90,424.10 is: 135,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,408.10 : 240,784.95 = 90,424.10 : x
  2. Step 2: Convert to fraction form
    160,408.10/240,784.95 = 90,424.10/x
  3. Step 3: Cross multiply
    160,408.10x = 240,784.95 × 90,424.10
  4. Step 4: Simplify right side
    160,408.10x = 21,772,762,397.30
  5. Step 5: Solve for x
    x = 21,772,762,397.30/160,408.10
  6. Step 6: Final answer
    x = 135,733.56

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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.