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Finding the Fourth Proportional to 199,545.72, 275,408.22 and 118,978.20

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Solution

The fourth proportional to 199,545.72, 275,408.22 and 118,978.20 is: 164,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,545.72 : 275,408.22 = 118,978.20 : x
  2. Step 2: Convert to fraction form
    199,545.72/275,408.22 = 118,978.20/x
  3. Step 3: Cross multiply
    199,545.72x = 275,408.22 × 118,978.20
  4. Step 4: Simplify right side
    199,545.72x = 32,767,574,280.80
  5. Step 5: Solve for x
    x = 32,767,574,280.80/199,545.72
  6. Step 6: Final answer
    x = 164,210.86

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1.5x scale

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.