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Finding the Fourth Proportional to 70,742.50, 106,114.58 and 28,058.33

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Solution

The fourth proportional to 70,742.50, 106,114.58 and 28,058.33 is: 42,087.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,742.50 : 106,114.58 = 28,058.33 : x
  2. Step 2: Convert to fraction form
    70,742.50/106,114.58 = 28,058.33/x
  3. Step 3: Cross multiply
    70,742.50x = 106,114.58 × 28,058.33
  4. Step 4: Simplify right side
    70,742.50x = 2,977,397,763.16
  5. Step 5: Solve for x
    x = 2,977,397,763.16/70,742.50
  6. Step 6: Final answer
    x = 42,087.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.