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Finding the Fourth Proportional to 257,856.72, 386,775.36 and 70,863.36

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Solution

The fourth proportional to 257,856.72, 386,775.36 and 70,863.36 is: 106,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,856.72 : 386,775.36 = 70,863.36 : x
  2. Step 2: Convert to fraction form
    257,856.72/386,775.36 = 70,863.36/x
  3. Step 3: Cross multiply
    257,856.72x = 386,775.36 × 70,863.36
  4. Step 4: Simplify right side
    257,856.72x = 27,408,201,574.81
  5. Step 5: Solve for x
    x = 27,408,201,574.81/257,856.72
  6. Step 6: Final answer
    x = 106,292.37

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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.