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Finding the Fourth Proportional to 53,000, 73,137.36 and 31,775.12

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Solution

The fourth proportional to 53,000, 73,137.36 and 31,775.12 is: 43,848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,000 : 73,137.36 = 31,775.12 : x
  2. Step 2: Convert to fraction form
    53,000/73,137.36 = 31,775.12/x
  3. Step 3: Cross multiply
    53,000x = 73,137.36 × 31,775.12
  4. Step 4: Simplify right side
    53,000x = 2,323,948,390.48
  5. Step 5: Solve for x
    x = 2,323,948,390.48/53,000
  6. Step 6: Final answer
    x = 43,848.08

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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.