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Finding the Fourth Proportional to 78,222.34, 117,142.13 and 70,640.75

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Solution

The fourth proportional to 78,222.34, 117,142.13 and 70,640.75 is: 105,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,222.34 : 117,142.13 = 70,640.75 : x
  2. Step 2: Convert to fraction form
    78,222.34/117,142.13 = 70,640.75/x
  3. Step 3: Cross multiply
    78,222.34x = 117,142.13 × 70,640.75
  4. Step 4: Simplify right side
    78,222.34x = 8,275,007,510.69
  5. Step 5: Solve for x
    x = 8,275,007,510.69/78,222.34
  6. Step 6: Final answer
    x = 105,788.29

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1.5x scale

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.