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Finding the Fourth Proportional to 97,685.64, 134,742.42 and 61,838.28

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Solution

The fourth proportional to 97,685.64, 134,742.42 and 61,838.28 is: 85,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,685.64 : 134,742.42 = 61,838.28 : x
  2. Step 2: Convert to fraction form
    97,685.64/134,742.42 = 61,838.28/x
  3. Step 3: Cross multiply
    97,685.64x = 134,742.42 × 61,838.28
  4. Step 4: Simplify right side
    97,685.64x = 8,332,239,495.84
  5. Step 5: Solve for x
    x = 8,332,239,495.84/97,685.64
  6. Step 6: Final answer
    x = 85,296.46

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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.