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Finding the Fourth Proportional to 105,539.72, 145,643.74 and 57,790.22

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Solution

The fourth proportional to 105,539.72, 145,643.74 and 57,790.22 is: 79,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,539.72 : 145,643.74 = 57,790.22 : x
  2. Step 2: Convert to fraction form
    105,539.72/145,643.74 = 57,790.22/x
  3. Step 3: Cross multiply
    105,539.72x = 145,643.74 × 57,790.22
  4. Step 4: Simplify right side
    105,539.72x = 8,416,782,903.53
  5. Step 5: Solve for x
    x = 8,416,782,903.53/105,539.72
  6. Step 6: Final answer
    x = 79,749.91

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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.