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Finding the Fourth Proportional to 142,936.84, 214,421.90 and 54,256.68

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Solution

The fourth proportional to 142,936.84, 214,421.90 and 54,256.68 is: 81,391.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,936.84 : 214,421.90 = 54,256.68 : x
  2. Step 2: Convert to fraction form
    142,936.84/214,421.90 = 54,256.68/x
  3. Step 3: Cross multiply
    142,936.84x = 214,421.90 × 54,256.68
  4. Step 4: Simplify right side
    142,936.84x = 11,633,820,413.29
  5. Step 5: Solve for x
    x = 11,633,820,413.29/142,936.84
  6. Step 6: Final answer
    x = 81,391.34

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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.