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Finding the Fourth Proportional to 70,577.81, 105,866.10 and 31,134.96

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Solution

The fourth proportional to 70,577.81, 105,866.10 and 31,134.96 is: 46,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,577.81 : 105,866.10 = 31,134.96 : x
  2. Step 2: Convert to fraction form
    70,577.81/105,866.10 = 31,134.96/x
  3. Step 3: Cross multiply
    70,577.81x = 105,866.10 × 31,134.96
  4. Step 4: Simplify right side
    70,577.81x = 3,296,136,788.86
  5. Step 5: Solve for x
    x = 3,296,136,788.86/70,577.81
  6. Step 6: Final answer
    x = 46,702.17

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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.