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Finding the Fourth Proportional to 78,752.34, 118,084.86 and 31,363.74

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Solution

The fourth proportional to 78,752.34, 118,084.86 and 31,363.74 is: 47,028.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,752.34 : 118,084.86 = 31,363.74 : x
  2. Step 2: Convert to fraction form
    78,752.34/118,084.86 = 31,363.74/x
  3. Step 3: Cross multiply
    78,752.34x = 118,084.86 × 31,363.74
  4. Step 4: Simplify right side
    78,752.34x = 3,703,582,846.98
  5. Step 5: Solve for x
    x = 3,703,582,846.98/78,752.34
  6. Step 6: Final answer
    x = 47,028.23

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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.