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Finding the Fourth Proportional to 105,324, 157,986 and 31,452

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Solution

The fourth proportional to 105,324, 157,986 and 31,452 is: 47,178

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,324 : 157,986 = 31,452 : x
  2. Step 2: Convert to fraction form
    105,324/157,986 = 31,452/x
  3. Step 3: Cross multiply
    105,324x = 157,986 × 31,452
  4. Step 4: Simplify right side
    105,324x = 4,968,975,672
  5. Step 5: Solve for x
    x = 4,968,975,672/105,324
  6. Step 6: Final answer
    x = 47,178

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.