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Finding the Fourth Proportional to 306,126, 459,223.43 and 81,495.18

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Solution

The fourth proportional to 306,126, 459,223.43 and 81,495.18 is: 122,251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,126 : 459,223.43 = 81,495.18 : x
  2. Step 2: Convert to fraction form
    306,126/459,223.43 = 81,495.18/x
  3. Step 3: Cross multiply
    306,126x = 459,223.43 × 81,495.18
  4. Step 4: Simplify right side
    306,126x = 37,424,495,680.59
  5. Step 5: Solve for x
    x = 37,424,495,680.59/306,126
  6. Step 6: Final answer
    x = 122,251.93

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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.