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Finding the Fourth Proportional to 102,991.86, 142,117.02 and 57,663.54

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Solution

The fourth proportional to 102,991.86, 142,117.02 and 57,663.54 is: 79,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,991.86 : 142,117.02 = 57,663.54 : x
  2. Step 2: Convert to fraction form
    102,991.86/142,117.02 = 57,663.54/x
  3. Step 3: Cross multiply
    102,991.86x = 142,117.02 × 57,663.54
  4. Step 4: Simplify right side
    102,991.86x = 8,194,970,467.45
  5. Step 5: Solve for x
    x = 8,194,970,467.45/102,991.86
  6. Step 6: Final answer
    x = 79,569.11

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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.