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Finding the Fourth Proportional to 213,978.76, 295,206.47 and 137,486.41

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Solution

The fourth proportional to 213,978.76, 295,206.47 and 137,486.41 is: 189,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,978.76 : 295,206.47 = 137,486.41 : x
  2. Step 2: Convert to fraction form
    213,978.76/295,206.47 = 137,486.41/x
  3. Step 3: Cross multiply
    213,978.76x = 295,206.47 × 137,486.41
  4. Step 4: Simplify right side
    213,978.76x = 40,586,877,081.64
  5. Step 5: Solve for x
    x = 40,586,877,081.64/213,978.76
  6. Step 6: Final answer
    x = 189,677.13

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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.