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Finding the Fourth Proportional to 147,008.10, 220,184.10 and 120,764.10

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Solution

The fourth proportional to 147,008.10, 220,184.10 and 120,764.10 is: 180,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,008.10 : 220,184.10 = 120,764.10 : x
  2. Step 2: Convert to fraction form
    147,008.10/220,184.10 = 120,764.10/x
  3. Step 3: Cross multiply
    147,008.10x = 220,184.10 × 120,764.10
  4. Step 4: Simplify right side
    147,008.10x = 26,590,334,670.81
  5. Step 5: Solve for x
    x = 26,590,334,670.81/147,008.10
  6. Step 6: Final answer
    x = 180,876.66

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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.