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Finding the Fourth Proportional to 135,108.96, 186,450 and 75,492.96

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Solution

The fourth proportional to 135,108.96, 186,450 and 75,492.96 is: 104,180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,108.96 : 186,450 = 75,492.96 : x
  2. Step 2: Convert to fraction form
    135,108.96/186,450 = 75,492.96/x
  3. Step 3: Cross multiply
    135,108.96x = 186,450 × 75,492.96
  4. Step 4: Simplify right side
    135,108.96x = 14,075,662,392.00
  5. Step 5: Solve for x
    x = 14,075,662,392.00/135,108.96
  6. Step 6: Final answer
    x = 104,180.08

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1.5x scale

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.