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Finding the Fourth Proportional to 260,016, 358,822.08 and 140,784

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Solution

The fourth proportional to 260,016, 358,822.08 and 140,784 is: 194,281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,016 : 358,822.08 = 140,784 : x
  2. Step 2: Convert to fraction form
    260,016/358,822.08 = 140,784/x
  3. Step 3: Cross multiply
    260,016x = 358,822.08 × 140,784
  4. Step 4: Simplify right side
    260,016x = 50,516,407,710.72
  5. Step 5: Solve for x
    x = 50,516,407,710.72/260,016
  6. Step 6: Final answer
    x = 194,281.92

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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.