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Finding the Fourth Proportional to 76,657.78, 114,989.91 and 26,742.88

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Solution

The fourth proportional to 76,657.78, 114,989.91 and 26,742.88 is: 40,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,657.78 : 114,989.91 = 26,742.88 : x
  2. Step 2: Convert to fraction form
    76,657.78/114,989.91 = 26,742.88/x
  3. Step 3: Cross multiply
    76,657.78x = 114,989.91 × 26,742.88
  4. Step 4: Simplify right side
    76,657.78x = 3,075,161,364.34
  5. Step 5: Solve for x
    x = 3,075,161,364.34/76,657.78
  6. Step 6: Final answer
    x = 40,115.45

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1.5x scale

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.