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Finding the Fourth Proportional to 210,846, 291,062.48 and 134,467.56

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Solution

The fourth proportional to 210,846, 291,062.48 and 134,467.56 is: 185,625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,846 : 291,062.48 = 134,467.56 : x
  2. Step 2: Convert to fraction form
    210,846/291,062.48 = 134,467.56/x
  3. Step 3: Cross multiply
    210,846x = 291,062.48 × 134,467.56
  4. Step 4: Simplify right side
    210,846x = 39,138,461,493.15
  5. Step 5: Solve for x
    x = 39,138,461,493.15/210,846
  6. Step 6: Final answer
    x = 185,625.82

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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.