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Finding the Fourth Proportional to 56,663.04, 78,197.76 and 31,512

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Solution

The fourth proportional to 56,663.04, 78,197.76 and 31,512 is: 43,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,663.04 : 78,197.76 = 31,512 : x
  2. Step 2: Convert to fraction form
    56,663.04/78,197.76 = 31,512/x
  3. Step 3: Cross multiply
    56,663.04x = 78,197.76 × 31,512
  4. Step 4: Simplify right side
    56,663.04x = 2,464,167,813.12
  5. Step 5: Solve for x
    x = 2,464,167,813.12/56,663.04
  6. Step 6: Final answer
    x = 43,488.10

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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.