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Finding the Fourth Proportional to 105,148.84, 145,105.26 and 67,423

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Solution

The fourth proportional to 105,148.84, 145,105.26 and 67,423 is: 93,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,148.84 : 145,105.26 = 67,423 : x
  2. Step 2: Convert to fraction form
    105,148.84/145,105.26 = 67,423/x
  3. Step 3: Cross multiply
    105,148.84x = 145,105.26 × 67,423
  4. Step 4: Simplify right side
    105,148.84x = 9,783,431,944.98
  5. Step 5: Solve for x
    x = 9,783,431,944.98/105,148.84
  6. Step 6: Final answer
    x = 93,043.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.