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Finding the Fourth Proportional to 105,072, 157,635.36 and 31,200

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Solution

The fourth proportional to 105,072, 157,635.36 and 31,200 is: 46,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,072 : 157,635.36 = 31,200 : x
  2. Step 2: Convert to fraction form
    105,072/157,635.36 = 31,200/x
  3. Step 3: Cross multiply
    105,072x = 157,635.36 × 31,200
  4. Step 4: Simplify right side
    105,072x = 4,918,223,232
  5. Step 5: Solve for x
    x = 4,918,223,232/105,072
  6. Step 6: Final answer
    x = 46,808.12

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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.