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Finding the Fourth Proportional to 101,768.26, 140,440.98 and 56,443.66

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Solution

The fourth proportional to 101,768.26, 140,440.98 and 56,443.66 is: 77,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,768.26 : 140,440.98 = 56,443.66 : x
  2. Step 2: Convert to fraction form
    101,768.26/140,440.98 = 56,443.66/x
  3. Step 3: Cross multiply
    101,768.26x = 140,440.98 × 56,443.66
  4. Step 4: Simplify right side
    101,768.26x = 7,927,002,925.19
  5. Step 5: Solve for x
    x = 7,927,002,925.19/101,768.26
  6. Step 6: Final answer
    x = 77,892.68

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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.