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Finding the Fourth Proportional to 202,235.50, 279,085 and 112,811.50

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Solution

The fourth proportional to 202,235.50, 279,085 and 112,811.50 is: 155,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,235.50 : 279,085 = 112,811.50 : x
  2. Step 2: Convert to fraction form
    202,235.50/279,085 = 112,811.50/x
  3. Step 3: Cross multiply
    202,235.50x = 279,085 × 112,811.50
  4. Step 4: Simplify right side
    202,235.50x = 31,483,997,477.50
  5. Step 5: Solve for x
    x = 31,483,997,477.50/202,235.50
  6. Step 6: Final answer
    x = 155,679.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.