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Finding the Fourth Proportional to 187,978.18, 259,409.37 and 107,430.70

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Solution

The fourth proportional to 187,978.18, 259,409.37 and 107,430.70 is: 148,254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,978.18 : 259,409.37 = 107,430.70 : x
  2. Step 2: Convert to fraction form
    187,978.18/259,409.37 = 107,430.70/x
  3. Step 3: Cross multiply
    187,978.18x = 259,409.37 × 107,430.70
  4. Step 4: Simplify right side
    187,978.18x = 27,868,530,205.66
  5. Step 5: Solve for x
    x = 27,868,530,205.66/187,978.18
  6. Step 6: Final answer
    x = 148,254.07

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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.