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Finding the Fourth Proportional to 84,897.76, 117,114.64 and 57,664.16

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Solution

The fourth proportional to 84,897.76, 117,114.64 and 57,664.16 is: 79,546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,897.76 : 117,114.64 = 57,664.16 : x
  2. Step 2: Convert to fraction form
    84,897.76/117,114.64 = 57,664.16/x
  3. Step 3: Cross multiply
    84,897.76x = 117,114.64 × 57,664.16
  4. Step 4: Simplify right side
    84,897.76x = 6,753,317,339.30
  5. Step 5: Solve for x
    x = 6,753,317,339.30/84,897.76
  6. Step 6: Final answer
    x = 79,546.47

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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.