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Finding the Fourth Proportional to 210,889.31, 291,026.93 and 115,395.98

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Solution

The fourth proportional to 210,889.31, 291,026.93 and 115,395.98 is: 159,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,889.31 : 291,026.93 = 115,395.98 : x
  2. Step 2: Convert to fraction form
    210,889.31/291,026.93 = 115,395.98/x
  3. Step 3: Cross multiply
    210,889.31x = 291,026.93 × 115,395.98
  4. Step 4: Simplify right side
    210,889.31x = 33,583,335,761.63
  5. Step 5: Solve for x
    x = 33,583,335,761.63/210,889.31
  6. Step 6: Final answer
    x = 159,246.27

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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.