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Finding the Fourth Proportional to 101,959.47, 140,726.56 and 56,653.02

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Solution

The fourth proportional to 101,959.47, 140,726.56 and 56,653.02 is: 78,193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,959.47 : 140,726.56 = 56,653.02 : x
  2. Step 2: Convert to fraction form
    101,959.47/140,726.56 = 56,653.02/x
  3. Step 3: Cross multiply
    101,959.47x = 140,726.56 × 56,653.02
  4. Step 4: Simplify right side
    101,959.47x = 7,972,584,618.21
  5. Step 5: Solve for x
    x = 7,972,584,618.21/101,959.47
  6. Step 6: Final answer
    x = 78,193.66

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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.