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Finding the Fourth Proportional to 74,075, 102,225.66 and 40,543.16

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Solution

The fourth proportional to 74,075, 102,225.66 and 40,543.16 is: 55,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,075 : 102,225.66 = 40,543.16 : x
  2. Step 2: Convert to fraction form
    74,075/102,225.66 = 40,543.16/x
  3. Step 3: Cross multiply
    74,075x = 102,225.66 × 40,543.16
  4. Step 4: Simplify right side
    74,075x = 4,144,551,289.49
  5. Step 5: Solve for x
    x = 4,144,551,289.49/74,075
  6. Step 6: Final answer
    x = 55,950.74

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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.