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Finding the Fourth Proportional to 113,257, 169,886.94 and 39,385

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Solution

The fourth proportional to 113,257, 169,886.94 and 39,385 is: 59,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,257 : 169,886.94 = 39,385 : x
  2. Step 2: Convert to fraction form
    113,257/169,886.94 = 39,385/x
  3. Step 3: Cross multiply
    113,257x = 169,886.94 × 39,385
  4. Step 4: Simplify right side
    113,257x = 6,690,997,131.90
  5. Step 5: Solve for x
    x = 6,690,997,131.90/113,257
  6. Step 6: Final answer
    x = 59,078.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.