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Finding the Fourth Proportional to 52,655.88, 72,658.62 and 31,431

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Solution

The fourth proportional to 52,655.88, 72,658.62 and 31,431 is: 43,370.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,655.88 : 72,658.62 = 31,431 : x
  2. Step 2: Convert to fraction form
    52,655.88/72,658.62 = 31,431/x
  3. Step 3: Cross multiply
    52,655.88x = 72,658.62 × 31,431
  4. Step 4: Simplify right side
    52,655.88x = 2,283,733,085.22
  5. Step 5: Solve for x
    x = 2,283,733,085.22/52,655.88
  6. Step 6: Final answer
    x = 43,370.90

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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.