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Finding the Fourth Proportional to 210,461.40, 290,442.98 and 114,969.68

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Solution

The fourth proportional to 210,461.40, 290,442.98 and 114,969.68 is: 158,661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,461.40 : 290,442.98 = 114,969.68 : x
  2. Step 2: Convert to fraction form
    210,461.40/290,442.98 = 114,969.68/x
  3. Step 3: Cross multiply
    210,461.40x = 290,442.98 × 114,969.68
  4. Step 4: Simplify right side
    210,461.40x = 33,392,136,468.85
  5. Step 5: Solve for x
    x = 33,392,136,468.85/210,461.40
  6. Step 6: Final answer
    x = 158,661.57

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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.