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Finding the Fourth Proportional to 57,703, 79,630.16 and 31,207

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Solution

The fourth proportional to 57,703, 79,630.16 and 31,207 is: 43,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,703 : 79,630.16 = 31,207 : x
  2. Step 2: Convert to fraction form
    57,703/79,630.16 = 31,207/x
  3. Step 3: Cross multiply
    57,703x = 79,630.16 × 31,207
  4. Step 4: Simplify right side
    57,703x = 2,485,018,403.12
  5. Step 5: Solve for x
    x = 2,485,018,403.12/57,703
  6. Step 6: Final answer
    x = 43,065.67

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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.