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Finding the Fourth Proportional to 142,667.40, 214,461.90 and 101,400.20

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Solution

The fourth proportional to 142,667.40, 214,461.90 and 101,400.20 is: 152,427.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,667.40 : 214,461.90 = 101,400.20 : x
  2. Step 2: Convert to fraction form
    142,667.40/214,461.90 = 101,400.20/x
  3. Step 3: Cross multiply
    142,667.40x = 214,461.90 × 101,400.20
  4. Step 4: Simplify right side
    142,667.40x = 21,746,479,552.38
  5. Step 5: Solve for x
    x = 21,746,479,552.38/142,667.40
  6. Step 6: Final answer
    x = 152,427.81

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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.