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Finding the Fourth Proportional to 155,728.32, 214,734.24 and 105,339.84

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Solution

The fourth proportional to 155,728.32, 214,734.24 and 105,339.84 is: 145,253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,728.32 : 214,734.24 = 105,339.84 : x
  2. Step 2: Convert to fraction form
    155,728.32/214,734.24 = 105,339.84/x
  3. Step 3: Cross multiply
    155,728.32x = 214,734.24 × 105,339.84
  4. Step 4: Simplify right side
    155,728.32x = 22,620,070,484.12
  5. Step 5: Solve for x
    x = 22,620,070,484.12/155,728.32
  6. Step 6: Final answer
    x = 145,253.42

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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.