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Finding the Fourth Proportional to 154,254, 212,861.64 and 85,339.32

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Solution

The fourth proportional to 154,254, 212,861.64 and 85,339.32 is: 117,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,254 : 212,861.64 = 85,339.32 : x
  2. Step 2: Convert to fraction form
    154,254/212,861.64 = 85,339.32/x
  3. Step 3: Cross multiply
    154,254x = 212,861.64 × 85,339.32
  4. Step 4: Simplify right side
    154,254x = 18,165,467,611.68
  5. Step 5: Solve for x
    x = 18,165,467,611.68/154,254
  6. Step 6: Final answer
    x = 117,763.35

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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.