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Finding the Fourth Proportional to 292,023.70, 438,035.55 and 105,049.78

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Solution

The fourth proportional to 292,023.70, 438,035.55 and 105,049.78 is: 157,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,023.70 : 438,035.55 = 105,049.78 : x
  2. Step 2: Convert to fraction form
    292,023.70/438,035.55 = 105,049.78/x
  3. Step 3: Cross multiply
    292,023.70x = 438,035.55 × 105,049.78
  4. Step 4: Simplify right side
    292,023.70x = 46,015,538,159.68
  5. Step 5: Solve for x
    x = 46,015,538,159.68/292,023.70
  6. Step 6: Final answer
    x = 157,574.67

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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.