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Finding the Fourth Proportional to 84,770, 116,985.16 and 47,047.76

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Solution

The fourth proportional to 84,770, 116,985.16 and 47,047.76 is: 64,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,770 : 116,985.16 = 47,047.76 : x
  2. Step 2: Convert to fraction form
    84,770/116,985.16 = 47,047.76/x
  3. Step 3: Cross multiply
    84,770x = 116,985.16 × 47,047.76
  4. Step 4: Simplify right side
    84,770x = 5,503,889,731.24
  5. Step 5: Solve for x
    x = 5,503,889,731.24/84,770
  6. Step 6: Final answer
    x = 64,927.33

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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.