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Finding the Fourth Proportional to 57,705, 86,557.50 and 13,929

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Solution

The fourth proportional to 57,705, 86,557.50 and 13,929 is: 20,893.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,705 : 86,557.50 = 13,929 : x
  2. Step 2: Convert to fraction form
    57,705/86,557.50 = 13,929/x
  3. Step 3: Cross multiply
    57,705x = 86,557.50 × 13,929
  4. Step 4: Simplify right side
    57,705x = 1,205,659,417.50
  5. Step 5: Solve for x
    x = 1,205,659,417.50/57,705
  6. Step 6: Final answer
    x = 20,893.50

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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.