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Finding the Fourth Proportional to 136,692.17, 205,129.77 and 56,730.20

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Solution

The fourth proportional to 136,692.17, 205,129.77 and 56,730.20 is: 85,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,692.17 : 205,129.77 = 56,730.20 : x
  2. Step 2: Convert to fraction form
    136,692.17/205,129.77 = 56,730.20/x
  3. Step 3: Cross multiply
    136,692.17x = 205,129.77 × 56,730.20
  4. Step 4: Simplify right side
    136,692.17x = 11,637,052,594.40
  5. Step 5: Solve for x
    x = 11,637,052,594.40/136,692.17
  6. Step 6: Final answer
    x = 85,133.28

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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.