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Finding the Fourth Proportional to 420,082.81, 630,128.57 and 104,539.71

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Solution

The fourth proportional to 420,082.81, 630,128.57 and 104,539.71 is: 156,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,082.81 : 630,128.57 = 104,539.71 : x
  2. Step 2: Convert to fraction form
    420,082.81/630,128.57 = 104,539.71/x
  3. Step 3: Cross multiply
    420,082.81x = 630,128.57 × 104,539.71
  4. Step 4: Simplify right side
    420,082.81x = 65,873,459,810.80
  5. Step 5: Solve for x
    x = 65,873,459,810.80/420,082.81
  6. Step 6: Final answer
    x = 156,810.65

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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.