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Finding the Fourth Proportional to 280,655.94, 421,012.26 and 91,108.38

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Solution

The fourth proportional to 280,655.94, 421,012.26 and 91,108.38 is: 136,671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,655.94 : 421,012.26 = 91,108.38 : x
  2. Step 2: Convert to fraction form
    280,655.94/421,012.26 = 91,108.38/x
  3. Step 3: Cross multiply
    280,655.94x = 421,012.26 × 91,108.38
  4. Step 4: Simplify right side
    280,655.94x = 38,357,744,968.74
  5. Step 5: Solve for x
    x = 38,357,744,968.74/280,655.94
  6. Step 6: Final answer
    x = 136,671.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.