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Finding the Fourth Proportional to 268,496.51, 402,723.54 and 156,105

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Solution

The fourth proportional to 268,496.51, 402,723.54 and 156,105 is: 234,145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,496.51 : 402,723.54 = 156,105 : x
  2. Step 2: Convert to fraction form
    268,496.51/402,723.54 = 156,105/x
  3. Step 3: Cross multiply
    268,496.51x = 402,723.54 × 156,105
  4. Step 4: Simplify right side
    268,496.51x = 62,867,158,211.70
  5. Step 5: Solve for x
    x = 62,867,158,211.70/268,496.51
  6. Step 6: Final answer
    x = 234,145.16

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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.