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Finding the Fourth Proportional to 102,992.40, 154,222.20 and 86,312.40

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Solution

The fourth proportional to 102,992.40, 154,222.20 and 86,312.40 is: 129,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,992.40 : 154,222.20 = 86,312.40 : x
  2. Step 2: Convert to fraction form
    102,992.40/154,222.20 = 86,312.40/x
  3. Step 3: Cross multiply
    102,992.40x = 154,222.20 × 86,312.40
  4. Step 4: Simplify right side
    102,992.40x = 13,311,288,215.28
  5. Step 5: Solve for x
    x = 13,311,288,215.28/102,992.40
  6. Step 6: Final answer
    x = 129,245.34

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1.5x scale

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.