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Finding the Fourth Proportional to 82,938, 114,415.02 and 56,089.92

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Solution

The fourth proportional to 82,938, 114,415.02 and 56,089.92 is: 77,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,938 : 114,415.02 = 56,089.92 : x
  2. Step 2: Convert to fraction form
    82,938/114,415.02 = 56,089.92/x
  3. Step 3: Cross multiply
    82,938x = 114,415.02 × 56,089.92
  4. Step 4: Simplify right side
    82,938x = 6,417,529,318.60
  5. Step 5: Solve for x
    x = 6,417,529,318.60/82,938
  6. Step 6: Final answer
    x = 77,377.43

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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.