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Finding the Fourth Proportional to 142,740.40, 214,110.60 and 101,268.40

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Solution

The fourth proportional to 142,740.40, 214,110.60 and 101,268.40 is: 151,902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,740.40 : 214,110.60 = 101,268.40 : x
  2. Step 2: Convert to fraction form
    142,740.40/214,110.60 = 101,268.40/x
  3. Step 3: Cross multiply
    142,740.40x = 214,110.60 × 101,268.40
  4. Step 4: Simplify right side
    142,740.40x = 21,682,637,885.04
  5. Step 5: Solve for x
    x = 21,682,637,885.04/142,740.40
  6. Step 6: Final answer
    x = 151,902.60

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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.