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Finding the Fourth Proportional to 257,871.78, 386,680.55 and 106,041.15

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Solution

The fourth proportional to 257,871.78, 386,680.55 and 106,041.15 is: 159,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,871.78 : 386,680.55 = 106,041.15 : x
  2. Step 2: Convert to fraction form
    257,871.78/386,680.55 = 106,041.15/x
  3. Step 3: Cross multiply
    257,871.78x = 386,680.55 × 106,041.15
  4. Step 4: Simplify right side
    257,871.78x = 41,004,049,674.43
  5. Step 5: Solve for x
    x = 41,004,049,674.43/257,871.78
  6. Step 6: Final answer
    x = 159,009.45

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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.