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Finding the Fourth Proportional to 101,864.79, 140,558.42 and 56,543.12

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Solution

The fourth proportional to 101,864.79, 140,558.42 and 56,543.12 is: 78,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,864.79 : 140,558.42 = 56,543.12 : x
  2. Step 2: Convert to fraction form
    101,864.79/140,558.42 = 56,543.12/x
  3. Step 3: Cross multiply
    101,864.79x = 140,558.42 × 56,543.12
  4. Step 4: Simplify right side
    101,864.79x = 7,947,610,623.56
  5. Step 5: Solve for x
    x = 7,947,610,623.56/101,864.79
  6. Step 6: Final answer
    x = 78,021.18

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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.