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Finding the Fourth Proportional to 102,856.92, 154,263.76 and 39,655.32

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Solution

The fourth proportional to 102,856.92, 154,263.76 and 39,655.32 is: 59,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,856.92 : 154,263.76 = 39,655.32 : x
  2. Step 2: Convert to fraction form
    102,856.92/154,263.76 = 39,655.32/x
  3. Step 3: Cross multiply
    102,856.92x = 154,263.76 × 39,655.32
  4. Step 4: Simplify right side
    102,856.92x = 6,117,378,767.20
  5. Step 5: Solve for x
    x = 6,117,378,767.20/102,856.92
  6. Step 6: Final answer
    x = 59,474.64

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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.