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Finding the Fourth Proportional to 101,660.64, 140,289.67 and 56,337.69

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Solution

The fourth proportional to 101,660.64, 140,289.67 and 56,337.69 is: 77,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,660.64 : 140,289.67 = 56,337.69 : x
  2. Step 2: Convert to fraction form
    101,660.64/140,289.67 = 56,337.69/x
  3. Step 3: Cross multiply
    101,660.64x = 140,289.67 × 56,337.69
  4. Step 4: Simplify right side
    101,660.64x = 7,903,595,943.32
  5. Step 5: Solve for x
    x = 7,903,595,943.32/101,660.64
  6. Step 6: Final answer
    x = 77,744.89

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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.