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Finding the Fourth Proportional to 78,693, 108,596.34 and 43,365

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Solution

The fourth proportional to 78,693, 108,596.34 and 43,365 is: 59,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,693 : 108,596.34 = 43,365 : x
  2. Step 2: Convert to fraction form
    78,693/108,596.34 = 43,365/x
  3. Step 3: Cross multiply
    78,693x = 108,596.34 × 43,365
  4. Step 4: Simplify right side
    78,693x = 4,709,280,284.10
  5. Step 5: Solve for x
    x = 4,709,280,284.10/78,693
  6. Step 6: Final answer
    x = 59,843.70

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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.