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Finding the Fourth Proportional to 210,611.31, 290,643.75 and 115,118.01

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Solution

The fourth proportional to 210,611.31, 290,643.75 and 115,118.01 is: 158,862.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,611.31 : 290,643.75 = 115,118.01 : x
  2. Step 2: Convert to fraction form
    210,611.31/290,643.75 = 115,118.01/x
  3. Step 3: Cross multiply
    210,611.31x = 290,643.75 × 115,118.01
  4. Step 4: Simplify right side
    210,611.31x = 33,458,330,118.94
  5. Step 5: Solve for x
    x = 33,458,330,118.94/210,611.31
  6. Step 6: Final answer
    x = 158,862.93

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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.