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Finding the Fourth Proportional to 105,559.58, 145,668.30 and 57,813.32

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Solution

The fourth proportional to 105,559.58, 145,668.30 and 57,813.32 is: 79,780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,559.58 : 145,668.30 = 57,813.32 : x
  2. Step 2: Convert to fraction form
    105,559.58/145,668.30 = 57,813.32/x
  3. Step 3: Cross multiply
    105,559.58x = 145,668.30 × 57,813.32
  4. Step 4: Simplify right side
    105,559.58x = 8,421,568,041.76
  5. Step 5: Solve for x
    x = 8,421,568,041.76/105,559.58
  6. Step 6: Final answer
    x = 79,780.23

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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.