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Finding the Fourth Proportional to 140,277.12, 210,409.92 and 77,907.84

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Solution

The fourth proportional to 140,277.12, 210,409.92 and 77,907.84 is: 116,858.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,277.12 : 210,409.92 = 77,907.84 : x
  2. Step 2: Convert to fraction form
    140,277.12/210,409.92 = 77,907.84/x
  3. Step 3: Cross multiply
    140,277.12x = 210,409.92 × 77,907.84
  4. Step 4: Simplify right side
    140,277.12x = 16,392,582,381.77
  5. Step 5: Solve for x
    x = 16,392,582,381.77/140,277.12
  6. Step 6: Final answer
    x = 116,858.56

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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.