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Finding the Fourth Proportional to 114,783.90, 172,077.24 and 39,894.30

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Solution

The fourth proportional to 114,783.90, 172,077.24 and 39,894.30 is: 59,807.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,783.90 : 172,077.24 = 39,894.30 : x
  2. Step 2: Convert to fraction form
    114,783.90/172,077.24 = 39,894.30/x
  3. Step 3: Cross multiply
    114,783.90x = 172,077.24 × 39,894.30
  4. Step 4: Simplify right side
    114,783.90x = 6,864,901,035.73
  5. Step 5: Solve for x
    x = 6,864,901,035.73/114,783.90
  6. Step 6: Final answer
    x = 59,807.18

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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.