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Finding the Fourth Proportional to 70,588.02, 105,858.54 and 28,457.22

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Solution

The fourth proportional to 70,588.02, 105,858.54 and 28,457.22 is: 42,676.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,588.02 : 105,858.54 = 28,457.22 : x
  2. Step 2: Convert to fraction form
    70,588.02/105,858.54 = 28,457.22/x
  3. Step 3: Cross multiply
    70,588.02x = 105,858.54 × 28,457.22
  4. Step 4: Simplify right side
    70,588.02x = 3,012,439,761.66
  5. Step 5: Solve for x
    x = 3,012,439,761.66/70,588.02
  6. Step 6: Final answer
    x = 42,676.36

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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.