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Finding the Fourth Proportional to 56,138.68, 77,471.22 and 30,988

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Solution

The fourth proportional to 56,138.68, 77,471.22 and 30,988 is: 42,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,138.68 : 77,471.22 = 30,988 : x
  2. Step 2: Convert to fraction form
    56,138.68/77,471.22 = 30,988/x
  3. Step 3: Cross multiply
    56,138.68x = 77,471.22 × 30,988
  4. Step 4: Simplify right side
    56,138.68x = 2,400,678,165.36
  5. Step 5: Solve for x
    x = 2,400,678,165.36/56,138.68
  6. Step 6: Final answer
    x = 42,763.35

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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.