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Finding the Fourth Proportional to 101,712.51, 140,377.79 and 56,400.57

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Solution

The fourth proportional to 101,712.51, 140,377.79 and 56,400.57 is: 77,840.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,712.51 : 140,377.79 = 56,400.57 : x
  2. Step 2: Convert to fraction form
    101,712.51/140,377.79 = 56,400.57/x
  3. Step 3: Cross multiply
    101,712.51x = 140,377.79 × 56,400.57
  4. Step 4: Simplify right side
    101,712.51x = 7,917,387,512.34
  5. Step 5: Solve for x
    x = 7,917,387,512.34/101,712.51
  6. Step 6: Final answer
    x = 77,840.84

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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.