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Finding the Fourth Proportional to 114,672, 172,014.48 and 40,800

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Solution

The fourth proportional to 114,672, 172,014.48 and 40,800 is: 61,202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,672 : 172,014.48 = 40,800 : x
  2. Step 2: Convert to fraction form
    114,672/172,014.48 = 40,800/x
  3. Step 3: Cross multiply
    114,672x = 172,014.48 × 40,800
  4. Step 4: Simplify right side
    114,672x = 7,018,190,784
  5. Step 5: Solve for x
    x = 7,018,190,784/114,672
  6. Step 6: Final answer
    x = 61,202.31

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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.