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Finding the Fourth Proportional to 47,220, 70,842.15 and 17,638.05

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Solution

The fourth proportional to 47,220, 70,842.15 and 17,638.05 is: 26,461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,220 : 70,842.15 = 17,638.05 : x
  2. Step 2: Convert to fraction form
    47,220/70,842.15 = 17,638.05/x
  3. Step 3: Cross multiply
    47,220x = 70,842.15 × 17,638.05
  4. Step 4: Simplify right side
    47,220x = 1,249,517,383.81
  5. Step 5: Solve for x
    x = 1,249,517,383.81/47,220
  6. Step 6: Final answer
    x = 26,461.61

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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.