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Finding the Fourth Proportional to 209,830.88, 289,566.50 and 114,337.46

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Solution

The fourth proportional to 209,830.88, 289,566.50 and 114,337.46 is: 157,785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,830.88 : 289,566.50 = 114,337.46 : x
  2. Step 2: Convert to fraction form
    209,830.88/289,566.50 = 114,337.46/x
  3. Step 3: Cross multiply
    209,830.88x = 289,566.50 × 114,337.46
  4. Step 4: Simplify right side
    209,830.88x = 33,108,298,111.09
  5. Step 5: Solve for x
    x = 33,108,298,111.09/209,830.88
  6. Step 6: Final answer
    x = 157,785.63

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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.