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Finding the Fourth Proportional to 224,087.50, 309,240.75 and 123,485.50

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Solution

The fourth proportional to 224,087.50, 309,240.75 and 123,485.50 is: 170,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,087.50 : 309,240.75 = 123,485.50 : x
  2. Step 2: Convert to fraction form
    224,087.50/309,240.75 = 123,485.50/x
  3. Step 3: Cross multiply
    224,087.50x = 309,240.75 × 123,485.50
  4. Step 4: Simplify right side
    224,087.50x = 38,186,748,634.13
  5. Step 5: Solve for x
    x = 38,186,748,634.13/224,087.50
  6. Step 6: Final answer
    x = 170,409.99

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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.