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Finding the Fourth Proportional to 118,596.52, 163,701.35 and 78,346

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Solution

The fourth proportional to 118,596.52, 163,701.35 and 78,346 is: 108,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,596.52 : 163,701.35 = 78,346 : x
  2. Step 2: Convert to fraction form
    118,596.52/163,701.35 = 78,346/x
  3. Step 3: Cross multiply
    118,596.52x = 163,701.35 × 78,346
  4. Step 4: Simplify right side
    118,596.52x = 12,825,345,967.10
  5. Step 5: Solve for x
    x = 12,825,345,967.10/118,596.52
  6. Step 6: Final answer
    x = 108,142.68

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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.