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Finding the Fourth Proportional to 169,902.32, 254,509.25 and 78,587.94

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Solution

The fourth proportional to 169,902.32, 254,509.25 and 78,587.94 is: 117,722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,902.32 : 254,509.25 = 78,587.94 : x
  2. Step 2: Convert to fraction form
    169,902.32/254,509.25 = 78,587.94/x
  3. Step 3: Cross multiply
    169,902.32x = 254,509.25 × 78,587.94
  4. Step 4: Simplify right side
    169,902.32x = 20,001,358,893.00
  5. Step 5: Solve for x
    x = 20,001,358,893.00/169,902.32
  6. Step 6: Final answer
    x = 117,722.69

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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.