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Finding the Fourth Proportional to 34,278, 47,302.98 and 19,170.66

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Solution

The fourth proportional to 34,278, 47,302.98 and 19,170.66 is: 26,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,278 : 47,302.98 = 19,170.66 : x
  2. Step 2: Convert to fraction form
    34,278/47,302.98 = 19,170.66/x
  3. Step 3: Cross multiply
    34,278x = 47,302.98 × 19,170.66
  4. Step 4: Simplify right side
    34,278x = 906,829,346.57
  5. Step 5: Solve for x
    x = 906,829,346.57/34,278
  6. Step 6: Final answer
    x = 26,455.14

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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.