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Finding the Fourth Proportional to 120,710.83, 166,505.16 and 77,746

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Solution

The fourth proportional to 120,710.83, 166,505.16 and 77,746 is: 107,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,710.83 : 166,505.16 = 77,746 : x
  2. Step 2: Convert to fraction form
    120,710.83/166,505.16 = 77,746/x
  3. Step 3: Cross multiply
    120,710.83x = 166,505.16 × 77,746
  4. Step 4: Simplify right side
    120,710.83x = 12,945,110,169.36
  5. Step 5: Solve for x
    x = 12,945,110,169.36/120,710.83
  6. Step 6: Final answer
    x = 107,240.67

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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.