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Finding the Fourth Proportional to 56,138.88, 77,471.84 and 30,988.32

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Solution

The fourth proportional to 56,138.88, 77,471.84 and 30,988.32 is: 42,763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,138.88 : 77,471.84 = 30,988.32 : x
  2. Step 2: Convert to fraction form
    56,138.88/77,471.84 = 30,988.32/x
  3. Step 3: Cross multiply
    56,138.88x = 77,471.84 × 30,988.32
  4. Step 4: Simplify right side
    56,138.88x = 2,400,722,168.91
  5. Step 5: Solve for x
    x = 2,400,722,168.91/56,138.88
  6. Step 6: Final answer
    x = 42,763.98

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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.