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Finding the Fourth Proportional to 78,432, 108,236.16 and 43,104

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Solution

The fourth proportional to 78,432, 108,236.16 and 43,104 is: 59,483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,432 : 108,236.16 = 43,104 : x
  2. Step 2: Convert to fraction form
    78,432/108,236.16 = 43,104/x
  3. Step 3: Cross multiply
    78,432x = 108,236.16 × 43,104
  4. Step 4: Simplify right side
    78,432x = 4,665,411,440.64
  5. Step 5: Solve for x
    x = 4,665,411,440.64/78,432
  6. Step 6: Final answer
    x = 59,483.52

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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.