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Finding the Fourth Proportional to 210,902.63, 316,288.84 and 61,153.95

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Solution

The fourth proportional to 210,902.63, 316,288.84 and 61,153.95 is: 91,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,902.63 : 316,288.84 = 61,153.95 : x
  2. Step 2: Convert to fraction form
    210,902.63/316,288.84 = 61,153.95/x
  3. Step 3: Cross multiply
    210,902.63x = 316,288.84 × 61,153.95
  4. Step 4: Simplify right side
    210,902.63x = 19,342,311,906.92
  5. Step 5: Solve for x
    x = 19,342,311,906.92/210,902.63
  6. Step 6: Final answer
    x = 91,712.05

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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.