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Finding the Fourth Proportional to 82,989.88, 114,392.16 and 56,122.60

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Solution

The fourth proportional to 82,989.88, 114,392.16 and 56,122.60 is: 77,358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,989.88 : 114,392.16 = 56,122.60 : x
  2. Step 2: Convert to fraction form
    82,989.88/114,392.16 = 56,122.60/x
  3. Step 3: Cross multiply
    82,989.88x = 114,392.16 × 56,122.60
  4. Step 4: Simplify right side
    82,989.88x = 6,419,985,438.82
  5. Step 5: Solve for x
    x = 6,419,985,438.82/82,989.88
  6. Step 6: Final answer
    x = 77,358.65

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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.