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Finding the Fourth Proportional to 105,088, 157,632 and 31,216

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Solution

The fourth proportional to 105,088, 157,632 and 31,216 is: 46,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,088 : 157,632 = 31,216 : x
  2. Step 2: Convert to fraction form
    105,088/157,632 = 31,216/x
  3. Step 3: Cross multiply
    105,088x = 157,632 × 31,216
  4. Step 4: Simplify right side
    105,088x = 4,920,640,512
  5. Step 5: Solve for x
    x = 4,920,640,512/105,088
  6. Step 6: Final answer
    x = 46,824

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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.