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Finding the Fourth Proportional to 145,766.64, 218,383.72 and 105,686.22

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Solution

The fourth proportional to 145,766.64, 218,383.72 and 105,686.22 is: 158,336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,766.64 : 218,383.72 = 105,686.22 : x
  2. Step 2: Convert to fraction form
    145,766.64/218,383.72 = 105,686.22/x
  3. Step 3: Cross multiply
    145,766.64x = 218,383.72 × 105,686.22
  4. Step 4: Simplify right side
    145,766.64x = 23,080,149,876.34
  5. Step 5: Solve for x
    x = 23,080,149,876.34/145,766.64
  6. Step 6: Final answer
    x = 158,336.30

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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.