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Finding the Fourth Proportional to 138,911.76, 191,696.76 and 78,485.22

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Solution

The fourth proportional to 138,911.76, 191,696.76 and 78,485.22 is: 108,308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,911.76 : 191,696.76 = 78,485.22 : x
  2. Step 2: Convert to fraction form
    138,911.76/191,696.76 = 78,485.22/x
  3. Step 3: Cross multiply
    138,911.76x = 191,696.76 × 78,485.22
  4. Step 4: Simplify right side
    138,911.76x = 15,045,362,381.89
  5. Step 5: Solve for x
    x = 15,045,362,381.89/138,911.76
  6. Step 6: Final answer
    x = 108,308.77

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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.