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Finding the Fourth Proportional to 70,106.51, 105,160.68 and 20,187.43

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Solution

The fourth proportional to 70,106.51, 105,160.68 and 20,187.43 is: 30,281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,106.51 : 105,160.68 = 20,187.43 : x
  2. Step 2: Convert to fraction form
    70,106.51/105,160.68 = 20,187.43/x
  3. Step 3: Cross multiply
    70,106.51x = 105,160.68 × 20,187.43
  4. Step 4: Simplify right side
    70,106.51x = 2,122,923,603.35
  5. Step 5: Solve for x
    x = 2,122,923,603.35/70,106.51
  6. Step 6: Final answer
    x = 30,281.40

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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.