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Finding the Fourth Proportional to 221,285.95, 305,373.21 and 125,792.64

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Solution

The fourth proportional to 221,285.95, 305,373.21 and 125,792.64 is: 173,593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,285.95 : 305,373.21 = 125,792.64 : x
  2. Step 2: Convert to fraction form
    221,285.95/305,373.21 = 125,792.64/x
  3. Step 3: Cross multiply
    221,285.95x = 305,373.21 × 125,792.64
  4. Step 4: Simplify right side
    221,285.95x = 38,413,702,271.17
  5. Step 5: Solve for x
    x = 38,413,702,271.17/221,285.95
  6. Step 6: Final answer
    x = 173,593.05

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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.