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Finding the Fourth Proportional to 53,491.66, 73,816.80 and 30,830.74

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Solution

The fourth proportional to 53,491.66, 73,816.80 and 30,830.74 is: 42,545.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,491.66 : 73,816.80 = 30,830.74 : x
  2. Step 2: Convert to fraction form
    53,491.66/73,816.80 = 30,830.74/x
  3. Step 3: Cross multiply
    53,491.66x = 73,816.80 × 30,830.74
  4. Step 4: Simplify right side
    53,491.66x = 2,275,826,568.43
  5. Step 5: Solve for x
    x = 2,275,826,568.43/53,491.66
  6. Step 6: Final answer
    x = 42,545.45

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1.5x scale

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.