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Finding the Fourth Proportional to 187,811.60, 282,408.60 and 157,398.80

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Solution

The fourth proportional to 187,811.60, 282,408.60 and 157,398.80 is: 236,677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,811.60 : 282,408.60 = 157,398.80 : x
  2. Step 2: Convert to fraction form
    187,811.60/282,408.60 = 157,398.80/x
  3. Step 3: Cross multiply
    187,811.60x = 282,408.60 × 157,398.80
  4. Step 4: Simplify right side
    187,811.60x = 44,450,774,749.68
  5. Step 5: Solve for x
    x = 44,450,774,749.68/187,811.60
  6. Step 6: Final answer
    x = 236,677.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.