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Finding the Fourth Proportional to 210,859.29, 290,985.48 and 115,366.37

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Solution

The fourth proportional to 210,859.29, 290,985.48 and 115,366.37 is: 159,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,859.29 : 290,985.48 = 115,366.37 : x
  2. Step 2: Convert to fraction form
    210,859.29/290,985.48 = 115,366.37/x
  3. Step 3: Cross multiply
    210,859.29x = 290,985.48 × 115,366.37
  4. Step 4: Simplify right side
    210,859.29x = 33,569,938,550.31
  5. Step 5: Solve for x
    x = 33,569,938,550.31/210,859.29
  6. Step 6: Final answer
    x = 159,205.40

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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.