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Finding the Fourth Proportional to 54,659.76, 75,430.89 and 30,784.20

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Solution

The fourth proportional to 54,659.76, 75,430.89 and 30,784.20 is: 42,482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,659.76 : 75,430.89 = 30,784.20 : x
  2. Step 2: Convert to fraction form
    54,659.76/75,430.89 = 30,784.20/x
  3. Step 3: Cross multiply
    54,659.76x = 75,430.89 × 30,784.20
  4. Step 4: Simplify right side
    54,659.76x = 2,322,079,603.94
  5. Step 5: Solve for x
    x = 2,322,079,603.94/54,659.76
  6. Step 6: Final answer
    x = 42,482.43

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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.