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Finding the Fourth Proportional to 306,063.83, 459,095.15 and 81,424.51

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Solution

The fourth proportional to 306,063.83, 459,095.15 and 81,424.51 is: 122,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,063.83 : 459,095.15 = 81,424.51 : x
  2. Step 2: Convert to fraction form
    306,063.83/459,095.15 = 81,424.51/x
  3. Step 3: Cross multiply
    306,063.83x = 459,095.15 × 81,424.51
  4. Step 4: Simplify right side
    306,063.83x = 37,381,596,687.95
  5. Step 5: Solve for x
    x = 37,381,596,687.95/306,063.83
  6. Step 6: Final answer
    x = 122,136.60

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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.