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Finding the Fourth Proportional to 280,064.04, 420,095.28 and 69,702

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Solution

The fourth proportional to 280,064.04, 420,095.28 and 69,702 is: 104,552.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,064.04 : 420,095.28 = 69,702 : x
  2. Step 2: Convert to fraction form
    280,064.04/420,095.28 = 69,702/x
  3. Step 3: Cross multiply
    280,064.04x = 420,095.28 × 69,702
  4. Step 4: Simplify right side
    280,064.04x = 29,281,481,206.56
  5. Step 5: Solve for x
    x = 29,281,481,206.56/280,064.04
  6. Step 6: Final answer
    x = 104,552.81

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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.