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Finding the Fourth Proportional to 105,292, 157,965.36 and 31,420

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Solution

The fourth proportional to 105,292, 157,965.36 and 31,420 is: 47,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,292 : 157,965.36 = 31,420 : x
  2. Step 2: Convert to fraction form
    105,292/157,965.36 = 31,420/x
  3. Step 3: Cross multiply
    105,292x = 157,965.36 × 31,420
  4. Step 4: Simplify right side
    105,292x = 4,963,271,611.20
  5. Step 5: Solve for x
    x = 4,963,271,611.20/105,292
  6. Step 6: Final answer
    x = 47,138.16

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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.