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Finding the Fourth Proportional to 210,646.08, 290,691.32 and 113,849.82

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Solution

The fourth proportional to 210,646.08, 290,691.32 and 113,849.82 is: 157,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,646.08 : 290,691.32 = 113,849.82 : x
  2. Step 2: Convert to fraction form
    210,646.08/290,691.32 = 113,849.82/x
  3. Step 3: Cross multiply
    210,646.08x = 290,691.32 × 113,849.82
  4. Step 4: Simplify right side
    210,646.08x = 33,095,153,888.31
  5. Step 5: Solve for x
    x = 33,095,153,888.31/210,646.08
  6. Step 6: Final answer
    x = 157,112.60

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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.