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Finding the Fourth Proportional to 292,022.70, 438,034.05 and 105,048.78

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Solution

The fourth proportional to 292,022.70, 438,034.05 and 105,048.78 is: 157,573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,022.70 : 438,034.05 = 105,048.78 : x
  2. Step 2: Convert to fraction form
    292,022.70/438,034.05 = 105,048.78/x
  3. Step 3: Cross multiply
    292,022.70x = 438,034.05 × 105,048.78
  4. Step 4: Simplify right side
    292,022.70x = 46,014,942,550.96
  5. Step 5: Solve for x
    x = 46,014,942,550.96/292,022.70
  6. Step 6: Final answer
    x = 157,573.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.