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Finding the Fourth Proportional to 84,123.78, 116,097.78 and 48,320.70

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Solution

The fourth proportional to 84,123.78, 116,097.78 and 48,320.70 is: 66,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,123.78 : 116,097.78 = 48,320.70 : x
  2. Step 2: Convert to fraction form
    84,123.78/116,097.78 = 48,320.70/x
  3. Step 3: Cross multiply
    84,123.78x = 116,097.78 × 48,320.70
  4. Step 4: Simplify right side
    84,123.78x = 5,609,925,998.05
  5. Step 5: Solve for x
    x = 5,609,925,998.05/84,123.78
  6. Step 6: Final answer
    x = 66,686.57

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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.