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Finding the Fourth Proportional to 84,930, 117,210.69 and 47,211.54

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Solution

The fourth proportional to 84,930, 117,210.69 and 47,211.54 is: 65,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,930 : 117,210.69 = 47,211.54 : x
  2. Step 2: Convert to fraction form
    84,930/117,210.69 = 47,211.54/x
  3. Step 3: Cross multiply
    84,930x = 117,210.69 × 47,211.54
  4. Step 4: Simplify right side
    84,930x = 5,533,697,179.36
  5. Step 5: Solve for x
    x = 5,533,697,179.36/84,930
  6. Step 6: Final answer
    x = 65,155.98

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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.