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Finding the Fourth Proportional to 106,042.16, 146,337.16 and 78,939.45

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Solution

The fourth proportional to 106,042.16, 146,337.16 and 78,939.45 is: 108,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,042.16 : 146,337.16 = 78,939.45 : x
  2. Step 2: Convert to fraction form
    106,042.16/146,337.16 = 78,939.45/x
  3. Step 3: Cross multiply
    106,042.16x = 146,337.16 × 78,939.45
  4. Step 4: Simplify right side
    106,042.16x = 11,551,774,447.82
  5. Step 5: Solve for x
    x = 11,551,774,447.82/106,042.16
  6. Step 6: Final answer
    x = 108,935.67

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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.