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Finding the Fourth Proportional to 103,954.50, 143,457.10 and 56,207.72

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Solution

The fourth proportional to 103,954.50, 143,457.10 and 56,207.72 is: 77,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,954.50 : 143,457.10 = 56,207.72 : x
  2. Step 2: Convert to fraction form
    103,954.50/143,457.10 = 56,207.72/x
  3. Step 3: Cross multiply
    103,954.50x = 143,457.10 × 56,207.72
  4. Step 4: Simplify right side
    103,954.50x = 8,063,396,508.81
  5. Step 5: Solve for x
    x = 8,063,396,508.81/103,954.50
  6. Step 6: Final answer
    x = 77,566.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.