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Finding the Fourth Proportional to 253,700, 350,106 and 140,530.08

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Solution

The fourth proportional to 253,700, 350,106 and 140,530.08 is: 193,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,700 : 350,106 = 140,530.08 : x
  2. Step 2: Convert to fraction form
    253,700/350,106 = 140,530.08/x
  3. Step 3: Cross multiply
    253,700x = 350,106 × 140,530.08
  4. Step 4: Simplify right side
    253,700x = 49,200,424,188.48
  5. Step 5: Solve for x
    x = 49,200,424,188.48/253,700
  6. Step 6: Final answer
    x = 193,931.51

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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.