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Finding the Fourth Proportional to 72,541.96, 100,106.22 and 40,710.04

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Solution

The fourth proportional to 72,541.96, 100,106.22 and 40,710.04 is: 56,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,541.96 : 100,106.22 = 40,710.04 : x
  2. Step 2: Convert to fraction form
    72,541.96/100,106.22 = 40,710.04/x
  3. Step 3: Cross multiply
    72,541.96x = 100,106.22 × 40,710.04
  4. Step 4: Simplify right side
    72,541.96x = 4,075,328,220.45
  5. Step 5: Solve for x
    x = 4,075,328,220.45/72,541.96
  6. Step 6: Final answer
    x = 56,178.91

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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.