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Finding the Fourth Proportional to 144,361.68, 216,319.16 and 100,074.96

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Solution

The fourth proportional to 144,361.68, 216,319.16 and 100,074.96 is: 149,957.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,361.68 : 216,319.16 = 100,074.96 : x
  2. Step 2: Convert to fraction form
    144,361.68/216,319.16 = 100,074.96/x
  3. Step 3: Cross multiply
    144,361.68x = 216,319.16 × 100,074.96
  4. Step 4: Simplify right side
    144,361.68x = 21,648,131,284.23
  5. Step 5: Solve for x
    x = 21,648,131,284.23/144,361.68
  6. Step 6: Final answer
    x = 149,957.60

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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.