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Finding the Fourth Proportional to 70,374.17, 105,561.60 and 17,783.70

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Solution

The fourth proportional to 70,374.17, 105,561.60 and 17,783.70 is: 26,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,374.17 : 105,561.60 = 17,783.70 : x
  2. Step 2: Convert to fraction form
    70,374.17/105,561.60 = 17,783.70/x
  3. Step 3: Cross multiply
    70,374.17x = 105,561.60 × 17,783.70
  4. Step 4: Simplify right side
    70,374.17x = 1,877,275,825.92
  5. Step 5: Solve for x
    x = 1,877,275,825.92/70,374.17
  6. Step 6: Final answer
    x = 26,675.64

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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.