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Finding the Fourth Proportional to 55,983, 77,253.68 and 30,827.64

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Solution

The fourth proportional to 55,983, 77,253.68 and 30,827.64 is: 42,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,983 : 77,253.68 = 30,827.64 : x
  2. Step 2: Convert to fraction form
    55,983/77,253.68 = 30,827.64/x
  3. Step 3: Cross multiply
    55,983x = 77,253.68 × 30,827.64
  4. Step 4: Simplify right side
    55,983x = 2,381,548,635.72
  5. Step 5: Solve for x
    x = 2,381,548,635.72/55,983
  6. Step 6: Final answer
    x = 42,540.57

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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.