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Finding the Fourth Proportional to 102,188.57, 154,242.74 and 102,188.57

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Solution

The fourth proportional to 102,188.57, 154,242.74 and 102,188.57 is: 154,242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,188.57 : 154,242.74 = 102,188.57 : x
  2. Step 2: Convert to fraction form
    102,188.57/154,242.74 = 102,188.57/x
  3. Step 3: Cross multiply
    102,188.57x = 154,242.74 × 102,188.57
  4. Step 4: Simplify right side
    102,188.57x = 15,761,844,712.94
  5. Step 5: Solve for x
    x = 15,761,844,712.94/102,188.57
  6. Step 6: Final answer
    x = 154,242.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.