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Finding the Fourth Proportional to 101,913.91, 140,657.83 and 56,606.48

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Solution

The fourth proportional to 101,913.91, 140,657.83 and 56,606.48 is: 78,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,913.91 : 140,657.83 = 56,606.48 : x
  2. Step 2: Convert to fraction form
    101,913.91/140,657.83 = 56,606.48/x
  3. Step 3: Cross multiply
    101,913.91x = 140,657.83 × 56,606.48
  4. Step 4: Simplify right side
    101,913.91x = 7,962,144,640.74
  5. Step 5: Solve for x
    x = 7,962,144,640.74/101,913.91
  6. Step 6: Final answer
    x = 78,126.18

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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.