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Finding the Fourth Proportional to 142,124.28, 212,945.54 and 85,846.14

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Solution

The fourth proportional to 142,124.28, 212,945.54 and 85,846.14 is: 128,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,124.28 : 212,945.54 = 85,846.14 : x
  2. Step 2: Convert to fraction form
    142,124.28/212,945.54 = 85,846.14/x
  3. Step 3: Cross multiply
    142,124.28x = 212,945.54 × 85,846.14
  4. Step 4: Simplify right side
    142,124.28x = 18,280,552,209.98
  5. Step 5: Solve for x
    x = 18,280,552,209.98/142,124.28
  6. Step 6: Final answer
    x = 128,623.71

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1.5x scale

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.