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Finding the Fourth Proportional to 101,784.16, 140,450.80 and 56,450.78

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Solution

The fourth proportional to 101,784.16, 140,450.80 and 56,450.78 is: 77,895.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,784.16 : 140,450.80 = 56,450.78 : x
  2. Step 2: Convert to fraction form
    101,784.16/140,450.80 = 56,450.78/x
  3. Step 3: Cross multiply
    101,784.16x = 140,450.80 × 56,450.78
  4. Step 4: Simplify right side
    101,784.16x = 7,928,557,421.62
  5. Step 5: Solve for x
    x = 7,928,557,421.62/101,784.16
  6. Step 6: Final answer
    x = 77,895.79

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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.