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Finding the Fourth Proportional to 164,516.57, 227,048.19 and 99,970.91

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Solution

The fourth proportional to 164,516.57, 227,048.19 and 99,970.91 is: 137,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,516.57 : 227,048.19 = 99,970.91 : x
  2. Step 2: Convert to fraction form
    164,516.57/227,048.19 = 99,970.91/x
  3. Step 3: Cross multiply
    164,516.57x = 227,048.19 × 99,970.91
  4. Step 4: Simplify right side
    164,516.57x = 22,698,213,032.91
  5. Step 5: Solve for x
    x = 22,698,213,032.91/164,516.57
  6. Step 6: Final answer
    x = 137,969.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.