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Finding the Fourth Proportional to 216,009.20, 323,916.60 and 97,619.60

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Solution

The fourth proportional to 216,009.20, 323,916.60 and 97,619.60 is: 146,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,009.20 : 323,916.60 = 97,619.60 : x
  2. Step 2: Convert to fraction form
    216,009.20/323,916.60 = 97,619.60/x
  3. Step 3: Cross multiply
    216,009.20x = 323,916.60 × 97,619.60
  4. Step 4: Simplify right side
    216,009.20x = 31,620,608,925.36
  5. Step 5: Solve for x
    x = 31,620,608,925.36/216,009.20
  6. Step 6: Final answer
    x = 146,385.47

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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.