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Finding the Fourth Proportional to 84,881.84, 117,140.46 and 47,156

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Solution

The fourth proportional to 84,881.84, 117,140.46 and 47,156 is: 65,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,881.84 : 117,140.46 = 47,156 : x
  2. Step 2: Convert to fraction form
    84,881.84/117,140.46 = 47,156/x
  3. Step 3: Cross multiply
    84,881.84x = 117,140.46 × 47,156
  4. Step 4: Simplify right side
    84,881.84x = 5,523,875,531.76
  5. Step 5: Solve for x
    x = 5,523,875,531.76/84,881.84
  6. Step 6: Final answer
    x = 65,077.24

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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.