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Finding the Fourth Proportional to 280,073.94, 420,108.75 and 69,710.46

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Solution

The fourth proportional to 280,073.94, 420,108.75 and 69,710.46 is: 104,565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,073.94 : 420,108.75 = 69,710.46 : x
  2. Step 2: Convert to fraction form
    280,073.94/420,108.75 = 69,710.46/x
  3. Step 3: Cross multiply
    280,073.94x = 420,108.75 × 69,710.46
  4. Step 4: Simplify right side
    280,073.94x = 29,285,974,212.53
  5. Step 5: Solve for x
    x = 29,285,974,212.53/280,073.94
  6. Step 6: Final answer
    x = 104,565.15

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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.