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Finding the Fourth Proportional to 94,783.14, 130,821.30 and 64,640.34

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Solution

The fourth proportional to 94,783.14, 130,821.30 and 64,640.34 is: 89,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,783.14 : 130,821.30 = 64,640.34 : x
  2. Step 2: Convert to fraction form
    94,783.14/130,821.30 = 64,640.34/x
  3. Step 3: Cross multiply
    94,783.14x = 130,821.30 × 64,640.34
  4. Step 4: Simplify right side
    94,783.14x = 8,456,333,311.24
  5. Step 5: Solve for x
    x = 8,456,333,311.24/94,783.14
  6. Step 6: Final answer
    x = 89,217.70

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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.