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Finding the Fourth Proportional to 54,655.79, 75,423.02 and 30,784.68

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Solution

The fourth proportional to 54,655.79, 75,423.02 and 30,784.68 is: 42,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,655.79 : 75,423.02 = 30,784.68 : x
  2. Step 2: Convert to fraction form
    54,655.79/75,423.02 = 30,784.68/x
  3. Step 3: Cross multiply
    54,655.79x = 75,423.02 × 30,784.68
  4. Step 4: Simplify right side
    54,655.79x = 2,321,873,381.41
  5. Step 5: Solve for x
    x = 2,321,873,381.41/54,655.79
  6. Step 6: Final answer
    x = 42,481.75

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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.