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Finding the Fourth Proportional to 102,104.64, 153,156.87 and 31,989.42

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Solution

The fourth proportional to 102,104.64, 153,156.87 and 31,989.42 is: 47,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,104.64 : 153,156.87 = 31,989.42 : x
  2. Step 2: Convert to fraction form
    102,104.64/153,156.87 = 31,989.42/x
  3. Step 3: Cross multiply
    102,104.64x = 153,156.87 × 31,989.42
  4. Step 4: Simplify right side
    102,104.64x = 4,899,399,440.32
  5. Step 5: Solve for x
    x = 4,899,399,440.32/102,104.64
  6. Step 6: Final answer
    x = 47,984.10

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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.