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Finding the Fourth Proportional to 71,178, 106,782.16 and 21,262

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Solution

The fourth proportional to 71,178, 106,782.16 and 21,262 is: 31,897.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,178 : 106,782.16 = 21,262 : x
  2. Step 2: Convert to fraction form
    71,178/106,782.16 = 21,262/x
  3. Step 3: Cross multiply
    71,178x = 106,782.16 × 21,262
  4. Step 4: Simplify right side
    71,178x = 2,270,402,285.92
  5. Step 5: Solve for x
    x = 2,270,402,285.92/71,178
  6. Step 6: Final answer
    x = 31,897.53

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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.