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Finding the Fourth Proportional to 146,289.76, 201,822.70 and 85,025.76

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Solution

The fourth proportional to 146,289.76, 201,822.70 and 85,025.76 is: 117,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,289.76 : 201,822.70 = 85,025.76 : x
  2. Step 2: Convert to fraction form
    146,289.76/201,822.70 = 85,025.76/x
  3. Step 3: Cross multiply
    146,289.76x = 201,822.70 × 85,025.76
  4. Step 4: Simplify right side
    146,289.76x = 17,160,128,452.75
  5. Step 5: Solve for x
    x = 17,160,128,452.75/146,289.76
  6. Step 6: Final answer
    x = 117,302.32

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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.