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Finding the Fourth Proportional to 140,419.60, 210,718.32 and 102,397.84

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Solution

The fourth proportional to 140,419.60, 210,718.32 and 102,397.84 is: 153,661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,419.60 : 210,718.32 = 102,397.84 : x
  2. Step 2: Convert to fraction form
    140,419.60/210,718.32 = 102,397.84/x
  3. Step 3: Cross multiply
    140,419.60x = 210,718.32 × 102,397.84
  4. Step 4: Simplify right side
    140,419.60x = 21,577,100,816.43
  5. Step 5: Solve for x
    x = 21,577,100,816.43/140,419.60
  6. Step 6: Final answer
    x = 153,661.60

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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.