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Finding the Fourth Proportional to 221,245.68, 305,348.80 and 140,681.20

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Solution

The fourth proportional to 221,245.68, 305,348.80 and 140,681.20 is: 194,158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,245.68 : 305,348.80 = 140,681.20 : x
  2. Step 2: Convert to fraction form
    221,245.68/305,348.80 = 140,681.20/x
  3. Step 3: Cross multiply
    221,245.68x = 305,348.80 × 140,681.20
  4. Step 4: Simplify right side
    221,245.68x = 42,956,835,602.56
  5. Step 5: Solve for x
    x = 42,956,835,602.56/221,245.68
  6. Step 6: Final answer
    x = 194,158.98

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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.