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Finding the Fourth Proportional to 155,902.32, 215,004 and 102,168

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Solution

The fourth proportional to 155,902.32, 215,004 and 102,168 is: 140,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,902.32 : 215,004 = 102,168 : x
  2. Step 2: Convert to fraction form
    155,902.32/215,004 = 102,168/x
  3. Step 3: Cross multiply
    155,902.32x = 215,004 × 102,168
  4. Step 4: Simplify right side
    155,902.32x = 21,966,528,672
  5. Step 5: Solve for x
    x = 21,966,528,672/155,902.32
  6. Step 6: Final answer
    x = 140,899.31

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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.