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Finding the Fourth Proportional to 84,034.20, 126,051.30 and 65,007.30

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Solution

The fourth proportional to 84,034.20, 126,051.30 and 65,007.30 is: 97,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,034.20 : 126,051.30 = 65,007.30 : x
  2. Step 2: Convert to fraction form
    84,034.20/126,051.30 = 65,007.30/x
  3. Step 3: Cross multiply
    84,034.20x = 126,051.30 × 65,007.30
  4. Step 4: Simplify right side
    84,034.20x = 8,194,254,674.49
  5. Step 5: Solve for x
    x = 8,194,254,674.49/84,034.20
  6. Step 6: Final answer
    x = 97,510.95

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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.