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Finding the Fourth Proportional to 148,698.72, 205,242.12 and 85,056.48

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Solution

The fourth proportional to 148,698.72, 205,242.12 and 85,056.48 is: 117,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,698.72 : 205,242.12 = 85,056.48 : x
  2. Step 2: Convert to fraction form
    148,698.72/205,242.12 = 85,056.48/x
  3. Step 3: Cross multiply
    148,698.72x = 205,242.12 × 85,056.48
  4. Step 4: Simplify right side
    148,698.72x = 17,457,172,274.94
  5. Step 5: Solve for x
    x = 17,457,172,274.94/148,698.72
  6. Step 6: Final answer
    x = 117,399.61

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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.