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Finding the Fourth Proportional to 210,477.88, 290,460.50 and 114,986.17

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Solution

The fourth proportional to 210,477.88, 290,460.50 and 114,986.17 is: 158,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,477.88 : 290,460.50 = 114,986.17 : x
  2. Step 2: Convert to fraction form
    210,477.88/290,460.50 = 114,986.17/x
  3. Step 3: Cross multiply
    210,477.88x = 290,460.50 × 114,986.17
  4. Step 4: Simplify right side
    210,477.88x = 33,398,940,431.29
  5. Step 5: Solve for x
    x = 33,398,940,431.29/210,477.88
  6. Step 6: Final answer
    x = 158,681.47

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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.