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Finding the Fourth Proportional to 97,690.64, 134,749.32 and 61,843.28

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Solution

The fourth proportional to 97,690.64, 134,749.32 and 61,843.28 is: 85,303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,690.64 : 134,749.32 = 61,843.28 : x
  2. Step 2: Convert to fraction form
    97,690.64/134,749.32 = 61,843.28/x
  3. Step 3: Cross multiply
    97,690.64x = 134,749.32 × 61,843.28
  4. Step 4: Simplify right side
    97,690.64x = 8,333,339,926.57
  5. Step 5: Solve for x
    x = 8,333,339,926.57/97,690.64
  6. Step 6: Final answer
    x = 85,303.36

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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.