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Finding the Fourth Proportional to 120,784.96, 166,698.63 and 73,038.65

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Solution

The fourth proportional to 120,784.96, 166,698.63 and 73,038.65 is: 100,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,784.96 : 166,698.63 = 73,038.65 : x
  2. Step 2: Convert to fraction form
    120,784.96/166,698.63 = 73,038.65/x
  3. Step 3: Cross multiply
    120,784.96x = 166,698.63 × 73,038.65
  4. Step 4: Simplify right side
    120,784.96x = 12,175,442,526.86
  5. Step 5: Solve for x
    x = 12,175,442,526.86/120,784.96
  6. Step 6: Final answer
    x = 100,802.64

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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.