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Finding the Fourth Proportional to 209,641.64, 289,305.82 and 114,148.74

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Solution

The fourth proportional to 209,641.64, 289,305.82 and 114,148.74 is: 157,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,641.64 : 289,305.82 = 114,148.74 : x
  2. Step 2: Convert to fraction form
    209,641.64/289,305.82 = 114,148.74/x
  3. Step 3: Cross multiply
    209,641.64x = 289,305.82 × 114,148.74
  4. Step 4: Simplify right side
    209,641.64x = 33,023,894,827.67
  5. Step 5: Solve for x
    x = 33,023,894,827.67/209,641.64
  6. Step 6: Final answer
    x = 157,525.46

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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.