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Finding the Fourth Proportional to 208,053.47, 312,178.92 and 144,109.94

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Solution

The fourth proportional to 208,053.47, 312,178.92 and 144,109.94 is: 216,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,053.47 : 312,178.92 = 144,109.94 : x
  2. Step 2: Convert to fraction form
    208,053.47/312,178.92 = 144,109.94/x
  3. Step 3: Cross multiply
    208,053.47x = 312,178.92 × 144,109.94
  4. Step 4: Simplify right side
    208,053.47x = 44,988,083,869.57
  5. Step 5: Solve for x
    x = 44,988,083,869.57/208,053.47
  6. Step 6: Final answer
    x = 216,233.28

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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.