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Finding the Fourth Proportional to 73,640, 101,623.20 and 40,106

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Solution

The fourth proportional to 73,640, 101,623.20 and 40,106 is: 55,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,640 : 101,623.20 = 40,106 : x
  2. Step 2: Convert to fraction form
    73,640/101,623.20 = 40,106/x
  3. Step 3: Cross multiply
    73,640x = 101,623.20 × 40,106
  4. Step 4: Simplify right side
    73,640x = 4,075,700,059.20
  5. Step 5: Solve for x
    x = 4,075,700,059.20/73,640
  6. Step 6: Final answer
    x = 55,346.28

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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.