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Finding the Fourth Proportional to 70,965, 106,447.50 and 39,802.68

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Solution

The fourth proportional to 70,965, 106,447.50 and 39,802.68 is: 59,704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,965 : 106,447.50 = 39,802.68 : x
  2. Step 2: Convert to fraction form
    70,965/106,447.50 = 39,802.68/x
  3. Step 3: Cross multiply
    70,965x = 106,447.50 × 39,802.68
  4. Step 4: Simplify right side
    70,965x = 4,236,895,779.30
  5. Step 5: Solve for x
    x = 4,236,895,779.30/70,965
  6. Step 6: Final answer
    x = 59,704.02

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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.