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Finding the Fourth Proportional to 82,887.40, 114,392.82 and 47,079.64

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Solution

The fourth proportional to 82,887.40, 114,392.82 and 47,079.64 is: 64,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,887.40 : 114,392.82 = 47,079.64 : x
  2. Step 2: Convert to fraction form
    82,887.40/114,392.82 = 47,079.64/x
  3. Step 3: Cross multiply
    82,887.40x = 114,392.82 × 47,079.64
  4. Step 4: Simplify right side
    82,887.40x = 5,385,572,784.18
  5. Step 5: Solve for x
    x = 5,385,572,784.18/82,887.40
  6. Step 6: Final answer
    x = 64,974.57

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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.