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Finding the Fourth Proportional to 70,305.20, 105,457.80 and 28,742.48

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Solution

The fourth proportional to 70,305.20, 105,457.80 and 28,742.48 is: 43,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,305.20 : 105,457.80 = 28,742.48 : x
  2. Step 2: Convert to fraction form
    70,305.20/105,457.80 = 28,742.48/x
  3. Step 3: Cross multiply
    70,305.20x = 105,457.80 × 28,742.48
  4. Step 4: Simplify right side
    70,305.20x = 3,031,118,707.34
  5. Step 5: Solve for x
    x = 3,031,118,707.34/70,305.20
  6. Step 6: Final answer
    x = 43,113.72

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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.