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Finding the Fourth Proportional to 70,302.74, 105,454.51 and 28,749.74

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Solution

The fourth proportional to 70,302.74, 105,454.51 and 28,749.74 is: 43,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,302.74 : 105,454.51 = 28,749.74 : x
  2. Step 2: Convert to fraction form
    70,302.74/105,454.51 = 28,749.74/x
  3. Step 3: Cross multiply
    70,302.74x = 105,454.51 × 28,749.74
  4. Step 4: Simplify right side
    70,302.74x = 3,031,789,145.18
  5. Step 5: Solve for x
    x = 3,031,789,145.18/70,302.74
  6. Step 6: Final answer
    x = 43,124.77

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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.