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Finding the Fourth Proportional to 102,972.47, 142,102.35 and 57,650.54

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Solution

The fourth proportional to 102,972.47, 142,102.35 and 57,650.54 is: 79,557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,972.47 : 142,102.35 = 57,650.54 : x
  2. Step 2: Convert to fraction form
    102,972.47/142,102.35 = 57,650.54/x
  3. Step 3: Cross multiply
    102,972.47x = 142,102.35 × 57,650.54
  4. Step 4: Simplify right side
    102,972.47x = 8,192,276,502.26
  5. Step 5: Solve for x
    x = 8,192,276,502.26/102,972.47
  6. Step 6: Final answer
    x = 79,557.93

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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.