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Finding the Fourth Proportional to 105,118.60, 157,677.90 and 31,246.60

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Solution

The fourth proportional to 105,118.60, 157,677.90 and 31,246.60 is: 46,869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,118.60 : 157,677.90 = 31,246.60 : x
  2. Step 2: Convert to fraction form
    105,118.60/157,677.90 = 31,246.60/x
  3. Step 3: Cross multiply
    105,118.60x = 157,677.90 × 31,246.60
  4. Step 4: Simplify right side
    105,118.60x = 4,926,898,270.14
  5. Step 5: Solve for x
    x = 4,926,898,270.14/105,118.60
  6. Step 6: Final answer
    x = 46,869.90

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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.