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Finding the Fourth Proportional to 99,798.75, 137,721.09 and 56,778.17

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Solution

The fourth proportional to 99,798.75, 137,721.09 and 56,778.17 is: 78,353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,798.75 : 137,721.09 = 56,778.17 : x
  2. Step 2: Convert to fraction form
    99,798.75/137,721.09 = 56,778.17/x
  3. Step 3: Cross multiply
    99,798.75x = 137,721.09 × 56,778.17
  4. Step 4: Simplify right side
    99,798.75x = 7,819,550,984.92
  5. Step 5: Solve for x
    x = 7,819,550,984.92/99,798.75
  6. Step 6: Final answer
    x = 78,353.20

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1.5x scale

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.