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Finding the Fourth Proportional to 53,106.96, 73,275.84 and 30,738

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Solution

The fourth proportional to 53,106.96, 73,275.84 and 30,738 is: 42,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,106.96 : 73,275.84 = 30,738 : x
  2. Step 2: Convert to fraction form
    53,106.96/73,275.84 = 30,738/x
  3. Step 3: Cross multiply
    53,106.96x = 73,275.84 × 30,738
  4. Step 4: Simplify right side
    53,106.96x = 2,252,352,769.92
  5. Step 5: Solve for x
    x = 2,252,352,769.92/53,106.96
  6. Step 6: Final answer
    x = 42,411.63

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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.