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Finding the Fourth Proportional to 142,671.40, 214,007.10 and 101,199.40

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Solution

The fourth proportional to 142,671.40, 214,007.10 and 101,199.40 is: 151,799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,671.40 : 214,007.10 = 101,199.40 : x
  2. Step 2: Convert to fraction form
    142,671.40/214,007.10 = 101,199.40/x
  3. Step 3: Cross multiply
    142,671.40x = 214,007.10 × 101,199.40
  4. Step 4: Simplify right side
    142,671.40x = 21,657,390,115.74
  5. Step 5: Solve for x
    x = 21,657,390,115.74/142,671.40
  6. Step 6: Final answer
    x = 151,799.10

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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.