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Finding the Fourth Proportional to 84,837, 117,079.92 and 47,113.68

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Solution

The fourth proportional to 84,837, 117,079.92 and 47,113.68 is: 65,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,837 : 117,079.92 = 47,113.68 : x
  2. Step 2: Convert to fraction form
    84,837/117,079.92 = 47,113.68/x
  3. Step 3: Cross multiply
    84,837x = 117,079.92 × 47,113.68
  4. Step 4: Simplify right side
    84,837x = 5,516,065,885.31
  5. Step 5: Solve for x
    x = 5,516,065,885.31/84,837
  6. Step 6: Final answer
    x = 65,019.58

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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.