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Finding the Fourth Proportional to 85,394.64, 117,848.58 and 47,159.58

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Solution

The fourth proportional to 85,394.64, 117,848.58 and 47,159.58 is: 65,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,394.64 : 117,848.58 = 47,159.58 : x
  2. Step 2: Convert to fraction form
    85,394.64/117,848.58 = 47,159.58/x
  3. Step 3: Cross multiply
    85,394.64x = 117,848.58 × 47,159.58
  4. Step 4: Simplify right side
    85,394.64x = 5,557,689,536.40
  5. Step 5: Solve for x
    x = 5,557,689,536.40/85,394.64
  6. Step 6: Final answer
    x = 65,082.42

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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.