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Finding the Fourth Proportional to 142,781.40, 214,172.10 and 136,220.40

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Solution

The fourth proportional to 142,781.40, 214,172.10 and 136,220.40 is: 204,330.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,781.40 : 214,172.10 = 136,220.40 : x
  2. Step 2: Convert to fraction form
    142,781.40/214,172.10 = 136,220.40/x
  3. Step 3: Cross multiply
    142,781.40x = 214,172.10 × 136,220.40
  4. Step 4: Simplify right side
    142,781.40x = 29,174,609,130.84
  5. Step 5: Solve for x
    x = 29,174,609,130.84/142,781.40
  6. Step 6: Final answer
    x = 204,330.60

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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.