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Finding the Fourth Proportional to 105,172.97, 157,759.45 and 31,300.97

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Solution

The fourth proportional to 105,172.97, 157,759.45 and 31,300.97 is: 46,951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,172.97 : 157,759.45 = 31,300.97 : x
  2. Step 2: Convert to fraction form
    105,172.97/157,759.45 = 31,300.97/x
  3. Step 3: Cross multiply
    105,172.97x = 157,759.45 × 31,300.97
  4. Step 4: Simplify right side
    105,172.97x = 4,938,023,712.28
  5. Step 5: Solve for x
    x = 4,938,023,712.28/105,172.97
  6. Step 6: Final answer
    x = 46,951.45

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1.5x scale

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.