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Finding the Fourth Proportional to 84,835, 117,077.16 and 47,111.68

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Solution

The fourth proportional to 84,835, 117,077.16 and 47,111.68 is: 65,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,835 : 117,077.16 = 47,111.68 : x
  2. Step 2: Convert to fraction form
    84,835/117,077.16 = 47,111.68/x
  3. Step 3: Cross multiply
    84,835x = 117,077.16 × 47,111.68
  4. Step 4: Simplify right side
    84,835x = 5,515,701,697.23
  5. Step 5: Solve for x
    x = 5,515,701,697.23/84,835
  6. Step 6: Final answer
    x = 65,016.82

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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.