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Finding the Fourth Proportional to 73,966.50, 102,075.39 and 40,432.50

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Solution

The fourth proportional to 73,966.50, 102,075.39 and 40,432.50 is: 55,797.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,966.50 : 102,075.39 = 40,432.50 : x
  2. Step 2: Convert to fraction form
    73,966.50/102,075.39 = 40,432.50/x
  3. Step 3: Cross multiply
    73,966.50x = 102,075.39 × 40,432.50
  4. Step 4: Simplify right side
    73,966.50x = 4,127,163,206.18
  5. Step 5: Solve for x
    x = 4,127,163,206.18/73,966.50
  6. Step 6: Final answer
    x = 55,797.74

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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.