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Finding the Fourth Proportional to 134,840.70, 186,074.82 and 77,482.98

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Solution

The fourth proportional to 134,840.70, 186,074.82 and 77,482.98 is: 106,923.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,840.70 : 186,074.82 = 77,482.98 : x
  2. Step 2: Convert to fraction form
    134,840.70/186,074.82 = 77,482.98/x
  3. Step 3: Cross multiply
    134,840.70x = 186,074.82 × 77,482.98
  4. Step 4: Simplify right side
    134,840.70x = 14,417,631,556.56
  5. Step 5: Solve for x
    x = 14,417,631,556.56/134,840.70
  6. Step 6: Final answer
    x = 106,923.44

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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.