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Finding the Fourth Proportional to 70,435.96, 105,654.06 and 17,845.40

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Solution

The fourth proportional to 70,435.96, 105,654.06 and 17,845.40 is: 26,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,435.96 : 105,654.06 = 17,845.40 : x
  2. Step 2: Convert to fraction form
    70,435.96/105,654.06 = 17,845.40/x
  3. Step 3: Cross multiply
    70,435.96x = 105,654.06 × 17,845.40
  4. Step 4: Simplify right side
    70,435.96x = 1,885,438,962.32
  5. Step 5: Solve for x
    x = 1,885,438,962.32/70,435.96
  6. Step 6: Final answer
    x = 26,768.13

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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.