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Finding the Fourth Proportional to 187,798.50, 259,162.20 and 102,913.74

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Solution

The fourth proportional to 187,798.50, 259,162.20 and 102,913.74 is: 142,021.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,798.50 : 259,162.20 = 102,913.74 : x
  2. Step 2: Convert to fraction form
    187,798.50/259,162.20 = 102,913.74/x
  3. Step 3: Cross multiply
    187,798.50x = 259,162.20 × 102,913.74
  4. Step 4: Simplify right side
    187,798.50x = 26,671,351,268.63
  5. Step 5: Solve for x
    x = 26,671,351,268.63/187,798.50
  6. Step 6: Final answer
    x = 142,021.11

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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.