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Finding the Fourth Proportional to 140,271.68, 193,543.04 and 83,672

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Solution

The fourth proportional to 140,271.68, 193,543.04 and 83,672 is: 115,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,271.68 : 193,543.04 = 83,672 : x
  2. Step 2: Convert to fraction form
    140,271.68/193,543.04 = 83,672/x
  3. Step 3: Cross multiply
    140,271.68x = 193,543.04 × 83,672
  4. Step 4: Simplify right side
    140,271.68x = 16,194,133,242.88
  5. Step 5: Solve for x
    x = 16,194,133,242.88/140,271.68
  6. Step 6: Final answer
    x = 115,448.34

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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.