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Finding the Fourth Proportional to 57,749, 86,623.50 and 13,973

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Solution

The fourth proportional to 57,749, 86,623.50 and 13,973 is: 20,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,749 : 86,623.50 = 13,973 : x
  2. Step 2: Convert to fraction form
    57,749/86,623.50 = 13,973/x
  3. Step 3: Cross multiply
    57,749x = 86,623.50 × 13,973
  4. Step 4: Simplify right side
    57,749x = 1,210,390,165.50
  5. Step 5: Solve for x
    x = 1,210,390,165.50/57,749
  6. Step 6: Final answer
    x = 20,959.50

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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.