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Finding the Fourth Proportional to 56,753.52, 78,322.28 and 31,603

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Solution

The fourth proportional to 56,753.52, 78,322.28 and 31,603 is: 43,613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,753.52 : 78,322.28 = 31,603 : x
  2. Step 2: Convert to fraction form
    56,753.52/78,322.28 = 31,603/x
  3. Step 3: Cross multiply
    56,753.52x = 78,322.28 × 31,603
  4. Step 4: Simplify right side
    56,753.52x = 2,475,219,014.84
  5. Step 5: Solve for x
    x = 2,475,219,014.84/56,753.52
  6. Step 6: Final answer
    x = 43,613.49

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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.