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Finding the Fourth Proportional to 138,152.70, 190,477.71 and 115,524.54

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Solution

The fourth proportional to 138,152.70, 190,477.71 and 115,524.54 is: 159,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,152.70 : 190,477.71 = 115,524.54 : x
  2. Step 2: Convert to fraction form
    138,152.70/190,477.71 = 115,524.54/x
  3. Step 3: Cross multiply
    138,152.70x = 190,477.71 × 115,524.54
  4. Step 4: Simplify right side
    138,152.70x = 22,004,849,828.00
  5. Step 5: Solve for x
    x = 22,004,849,828.00/138,152.70
  6. Step 6: Final answer
    x = 159,279.19

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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.