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Finding the Fourth Proportional to 55,159.92, 82,688.04 and 30,484.08

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Solution

The fourth proportional to 55,159.92, 82,688.04 and 30,484.08 is: 45,697.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,159.92 : 82,688.04 = 30,484.08 : x
  2. Step 2: Convert to fraction form
    55,159.92/82,688.04 = 30,484.08/x
  3. Step 3: Cross multiply
    55,159.92x = 82,688.04 × 30,484.08
  4. Step 4: Simplify right side
    55,159.92x = 2,520,668,826.40
  5. Step 5: Solve for x
    x = 2,520,668,826.40/55,159.92
  6. Step 6: Final answer
    x = 45,697.47

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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.