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Finding the Fourth Proportional to 101,077.90, 151,616.40 and 78,910

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Solution

The fourth proportional to 101,077.90, 151,616.40 and 78,910 is: 118,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,077.90 : 151,616.40 = 78,910 : x
  2. Step 2: Convert to fraction form
    101,077.90/151,616.40 = 78,910/x
  3. Step 3: Cross multiply
    101,077.90x = 151,616.40 × 78,910
  4. Step 4: Simplify right side
    101,077.90x = 11,964,050,124
  5. Step 5: Solve for x
    x = 11,964,050,124/101,077.90
  6. Step 6: Final answer
    x = 118,364.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.