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Finding the Fourth Proportional to 102,004.40, 152,901.30 and 45,871.40

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Solution

The fourth proportional to 102,004.40, 152,901.30 and 45,871.40 is: 68,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,004.40 : 152,901.30 = 45,871.40 : x
  2. Step 2: Convert to fraction form
    102,004.40/152,901.30 = 45,871.40/x
  3. Step 3: Cross multiply
    102,004.40x = 152,901.30 × 45,871.40
  4. Step 4: Simplify right side
    102,004.40x = 7,013,796,692.82
  5. Step 5: Solve for x
    x = 7,013,796,692.82/102,004.40
  6. Step 6: Final answer
    x = 68,759.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.