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Finding the Fourth Proportional to 211,165.56, 316,768.95 and 61,407

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Solution

The fourth proportional to 211,165.56, 316,768.95 and 61,407 is: 92,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,165.56 : 316,768.95 = 61,407 : x
  2. Step 2: Convert to fraction form
    211,165.56/316,768.95 = 61,407/x
  3. Step 3: Cross multiply
    211,165.56x = 316,768.95 × 61,407
  4. Step 4: Simplify right side
    211,165.56x = 19,451,830,912.65
  5. Step 5: Solve for x
    x = 19,451,830,912.65/211,165.56
  6. Step 6: Final answer
    x = 92,116.49

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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.