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Finding the Fourth Proportional to 102,692.20, 154,038.30 and 90,639.40

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Solution

The fourth proportional to 102,692.20, 154,038.30 and 90,639.40 is: 135,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,692.20 : 154,038.30 = 90,639.40 : x
  2. Step 2: Convert to fraction form
    102,692.20/154,038.30 = 90,639.40/x
  3. Step 3: Cross multiply
    102,692.20x = 154,038.30 × 90,639.40
  4. Step 4: Simplify right side
    102,692.20x = 13,961,939,089.02
  5. Step 5: Solve for x
    x = 13,961,939,089.02/102,692.20
  6. Step 6: Final answer
    x = 135,959.10

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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.