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Finding the Fourth Proportional to 265,656.41, 398,546.93 and 105,742.05

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Solution

The fourth proportional to 265,656.41, 398,546.93 and 105,742.05 is: 158,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,656.41 : 398,546.93 = 105,742.05 : x
  2. Step 2: Convert to fraction form
    265,656.41/398,546.93 = 105,742.05/x
  3. Step 3: Cross multiply
    265,656.41x = 398,546.93 × 105,742.05
  4. Step 4: Simplify right side
    265,656.41x = 42,143,168,870.70
  5. Step 5: Solve for x
    x = 42,143,168,870.70/265,656.41
  6. Step 6: Final answer
    x = 158,637.88

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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.