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Finding the Fourth Proportional to 152,165.46, 209,998.06 and 85,097.46

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Solution

The fourth proportional to 152,165.46, 209,998.06 and 85,097.46 is: 117,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,165.46 : 209,998.06 = 85,097.46 : x
  2. Step 2: Convert to fraction form
    152,165.46/209,998.06 = 85,097.46/x
  3. Step 3: Cross multiply
    152,165.46x = 209,998.06 × 85,097.46
  4. Step 4: Simplify right side
    152,165.46x = 17,870,301,375.39
  5. Step 5: Solve for x
    x = 17,870,301,375.39/152,165.46
  6. Step 6: Final answer
    x = 117,439.93

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1.5x scale

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.