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Finding the Fourth Proportional to 78,440, 108,247.36 and 43,112

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Solution

The fourth proportional to 78,440, 108,247.36 and 43,112 is: 59,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,440 : 108,247.36 = 43,112 : x
  2. Step 2: Convert to fraction form
    78,440/108,247.36 = 43,112/x
  3. Step 3: Cross multiply
    78,440x = 108,247.36 × 43,112
  4. Step 4: Simplify right side
    78,440x = 4,666,760,184.32
  5. Step 5: Solve for x
    x = 4,666,760,184.32/78,440
  6. Step 6: Final answer
    x = 59,494.65

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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.