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Finding the Fourth Proportional to 105,012, 157,525.88 and 30,131.52

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Solution

The fourth proportional to 105,012, 157,525.88 and 30,131.52 is: 45,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,012 : 157,525.88 = 30,131.52 : x
  2. Step 2: Convert to fraction form
    105,012/157,525.88 = 30,131.52/x
  3. Step 3: Cross multiply
    105,012x = 157,525.88 × 30,131.52
  4. Step 4: Simplify right side
    105,012x = 4,746,494,203.74
  5. Step 5: Solve for x
    x = 4,746,494,203.74/105,012
  6. Step 6: Final answer
    x = 45,199.54

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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.