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Finding the Fourth Proportional to 280,681.68, 421,088.72 and 91,141.44

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Solution

The fourth proportional to 280,681.68, 421,088.72 and 91,141.44 is: 136,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,681.68 : 421,088.72 = 91,141.44 : x
  2. Step 2: Convert to fraction form
    280,681.68/421,088.72 = 91,141.44/x
  3. Step 3: Cross multiply
    280,681.68x = 421,088.72 × 91,141.44
  4. Step 4: Simplify right side
    280,681.68x = 38,378,632,308.56
  5. Step 5: Solve for x
    x = 38,378,632,308.56/280,681.68
  6. Step 6: Final answer
    x = 136,733.66

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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.