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Finding the Fourth Proportional to 105,290, 157,962.36 and 31,418

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Solution

The fourth proportional to 105,290, 157,962.36 and 31,418 is: 47,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,290 : 157,962.36 = 31,418 : x
  2. Step 2: Convert to fraction form
    105,290/157,962.36 = 31,418/x
  3. Step 3: Cross multiply
    105,290x = 157,962.36 × 31,418
  4. Step 4: Simplify right side
    105,290x = 4,962,861,426.48
  5. Step 5: Solve for x
    x = 4,962,861,426.48/105,290
  6. Step 6: Final answer
    x = 47,135.16

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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.