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Finding the Fourth Proportional to 30,104.65, 45,157.43 and 11,393.50

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Solution

The fourth proportional to 30,104.65, 45,157.43 and 11,393.50 is: 17,090.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,104.65 : 45,157.43 = 11,393.50 : x
  2. Step 2: Convert to fraction form
    30,104.65/45,157.43 = 11,393.50/x
  3. Step 3: Cross multiply
    30,104.65x = 45,157.43 × 11,393.50
  4. Step 4: Simplify right side
    30,104.65x = 514,501,178.71
  5. Step 5: Solve for x
    x = 514,501,178.71/30,104.65
  6. Step 6: Final answer
    x = 17,090.42

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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.