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Finding the Fourth Proportional to 86,777.22, 130,017.24 and 47,362

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Solution

The fourth proportional to 86,777.22, 130,017.24 and 47,362 is: 70,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,777.22 : 130,017.24 = 47,362 : x
  2. Step 2: Convert to fraction form
    86,777.22/130,017.24 = 47,362/x
  3. Step 3: Cross multiply
    86,777.22x = 130,017.24 × 47,362
  4. Step 4: Simplify right side
    86,777.22x = 6,157,876,520.88
  5. Step 5: Solve for x
    x = 6,157,876,520.88/86,777.22
  6. Step 6: Final answer
    x = 70,961.90

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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.