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Finding the Fourth Proportional to 142,146, 213,220.08 and 48,652.56

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Solution

The fourth proportional to 142,146, 213,220.08 and 48,652.56 is: 72,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,146 : 213,220.08 = 48,652.56 : x
  2. Step 2: Convert to fraction form
    142,146/213,220.08 = 48,652.56/x
  3. Step 3: Cross multiply
    142,146x = 213,220.08 × 48,652.56
  4. Step 4: Simplify right side
    142,146x = 10,373,702,735.40
  5. Step 5: Solve for x
    x = 10,373,702,735.40/142,146
  6. Step 6: Final answer
    x = 72,979.21

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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.