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Finding the Fourth Proportional to 84,170.80, 116,155.65 and 53,956.11

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Solution

The fourth proportional to 84,170.80, 116,155.65 and 53,956.11 is: 74,459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,170.80 : 116,155.65 = 53,956.11 : x
  2. Step 2: Convert to fraction form
    84,170.80/116,155.65 = 53,956.11/x
  3. Step 3: Cross multiply
    84,170.80x = 116,155.65 × 53,956.11
  4. Step 4: Simplify right side
    84,170.80x = 6,267,307,028.52
  5. Step 5: Solve for x
    x = 6,267,307,028.52/84,170.80
  6. Step 6: Final answer
    x = 74,459.40

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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.