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Finding the Fourth Proportional to 70,438.96, 105,658.56 and 17,848.40

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Solution

The fourth proportional to 70,438.96, 105,658.56 and 17,848.40 is: 26,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,438.96 : 105,658.56 = 17,848.40 : x
  2. Step 2: Convert to fraction form
    70,438.96/105,658.56 = 17,848.40/x
  3. Step 3: Cross multiply
    70,438.96x = 105,658.56 × 17,848.40
  4. Step 4: Simplify right side
    70,438.96x = 1,885,836,242.30
  5. Step 5: Solve for x
    x = 1,885,836,242.30/70,438.96
  6. Step 6: Final answer
    x = 26,772.63

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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.