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Finding the Fourth Proportional to 84,897.18, 117,153.27 and 47,169

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Solution

The fourth proportional to 84,897.18, 117,153.27 and 47,169 is: 65,090.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,897.18 : 117,153.27 = 47,169 : x
  2. Step 2: Convert to fraction form
    84,897.18/117,153.27 = 47,169/x
  3. Step 3: Cross multiply
    84,897.18x = 117,153.27 × 47,169
  4. Step 4: Simplify right side
    84,897.18x = 5,526,002,592.63
  5. Step 5: Solve for x
    x = 5,526,002,592.63/84,897.18
  6. Step 6: Final answer
    x = 65,090.53

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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.