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Finding the Fourth Proportional to 253,700, 350,106 and 140,530.04

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Solution

The fourth proportional to 253,700, 350,106 and 140,530.04 is: 193,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,700 : 350,106 = 140,530.04 : x
  2. Step 2: Convert to fraction form
    253,700/350,106 = 140,530.04/x
  3. Step 3: Cross multiply
    253,700x = 350,106 × 140,530.04
  4. Step 4: Simplify right side
    253,700x = 49,200,410,184.24
  5. Step 5: Solve for x
    x = 49,200,410,184.24/253,700
  6. Step 6: Final answer
    x = 193,931.46

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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.