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Finding the Fourth Proportional to 101,827.69, 140,521.92 and 56,512.51

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Solution

The fourth proportional to 101,827.69, 140,521.92 and 56,512.51 is: 77,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,827.69 : 140,521.92 = 56,512.51 : x
  2. Step 2: Convert to fraction form
    101,827.69/140,521.92 = 56,512.51/x
  3. Step 3: Cross multiply
    101,827.69x = 140,521.92 × 56,512.51
  4. Step 4: Simplify right side
    101,827.69x = 7,941,246,409.22
  5. Step 5: Solve for x
    x = 7,941,246,409.22/101,827.69
  6. Step 6: Final answer
    x = 77,987.10

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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.