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Finding the Fourth Proportional to 70,089, 105,129.66 and 28,570.92

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Solution

The fourth proportional to 70,089, 105,129.66 and 28,570.92 is: 42,854.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,089 : 105,129.66 = 28,570.92 : x
  2. Step 2: Convert to fraction form
    70,089/105,129.66 = 28,570.92/x
  3. Step 3: Cross multiply
    70,089x = 105,129.66 × 28,570.92
  4. Step 4: Simplify right side
    70,089x = 3,003,651,105.49
  5. Step 5: Solve for x
    x = 3,003,651,105.49/70,089
  6. Step 6: Final answer
    x = 42,854.81

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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.