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Finding the Fourth Proportional to 144,384.96, 216,614.34 and 55,614.63

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Solution

The fourth proportional to 144,384.96, 216,614.34 and 55,614.63 is: 83,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,384.96 : 216,614.34 = 55,614.63 : x
  2. Step 2: Convert to fraction form
    144,384.96/216,614.34 = 55,614.63/x
  3. Step 3: Cross multiply
    144,384.96x = 216,614.34 × 55,614.63
  4. Step 4: Simplify right side
    144,384.96x = 12,046,926,371.79
  5. Step 5: Solve for x
    x = 12,046,926,371.79/144,384.96
  6. Step 6: Final answer
    x = 83,436.16

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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.