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Finding the Fourth Proportional to 257,551.10, 355,432.01 and 142,822.02

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Solution

The fourth proportional to 257,551.10, 355,432.01 and 142,822.02 is: 197,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,551.10 : 355,432.01 = 142,822.02 : x
  2. Step 2: Convert to fraction form
    257,551.10/355,432.01 = 142,822.02/x
  3. Step 3: Cross multiply
    257,551.10x = 355,432.01 × 142,822.02
  4. Step 4: Simplify right side
    257,551.10x = 50,763,516,926.75
  5. Step 5: Solve for x
    x = 50,763,516,926.75/257,551.10
  6. Step 6: Final answer
    x = 197,100.76

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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.