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Finding the Fourth Proportional to 78,422.54, 108,222.89 and 42,612.67

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Solution

The fourth proportional to 78,422.54, 108,222.89 and 42,612.67 is: 58,805.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,422.54 : 108,222.89 = 42,612.67 : x
  2. Step 2: Convert to fraction form
    78,422.54/108,222.89 = 42,612.67/x
  3. Step 3: Cross multiply
    78,422.54x = 108,222.89 × 42,612.67
  4. Step 4: Simplify right side
    78,422.54x = 4,611,666,220.23
  5. Step 5: Solve for x
    x = 4,611,666,220.23/78,422.54
  6. Step 6: Final answer
    x = 58,805.37

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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.