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Finding the Fourth Proportional to 192,657.37, 265,854.93 and 105,424.78

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Solution

The fourth proportional to 192,657.37, 265,854.93 and 105,424.78 is: 145,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,657.37 : 265,854.93 = 105,424.78 : x
  2. Step 2: Convert to fraction form
    192,657.37/265,854.93 = 105,424.78/x
  3. Step 3: Cross multiply
    192,657.37x = 265,854.93 × 105,424.78
  4. Step 4: Simplify right side
    192,657.37x = 28,027,697,507.17
  5. Step 5: Solve for x
    x = 28,027,697,507.17/192,657.37
  6. Step 6: Final answer
    x = 145,479.50

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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.