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Finding the Fourth Proportional to 101,743.31, 140,403.15 and 56,420.57

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Solution

The fourth proportional to 101,743.31, 140,403.15 and 56,420.57 is: 77,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,743.31 : 140,403.15 = 56,420.57 : x
  2. Step 2: Convert to fraction form
    101,743.31/140,403.15 = 56,420.57/x
  3. Step 3: Cross multiply
    101,743.31x = 140,403.15 × 56,420.57
  4. Step 4: Simplify right side
    101,743.31x = 7,921,625,050.78
  5. Step 5: Solve for x
    x = 7,921,625,050.78/101,743.31
  6. Step 6: Final answer
    x = 77,858.93

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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.