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Finding the Fourth Proportional to 30,109.40, 45,077.70 and 18,445.40

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Solution

The fourth proportional to 30,109.40, 45,077.70 and 18,445.40 is: 27,615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,109.40 : 45,077.70 = 18,445.40 : x
  2. Step 2: Convert to fraction form
    30,109.40/45,077.70 = 18,445.40/x
  3. Step 3: Cross multiply
    30,109.40x = 45,077.70 × 18,445.40
  4. Step 4: Simplify right side
    30,109.40x = 831,476,207.58
  5. Step 5: Solve for x
    x = 831,476,207.58/30,109.40
  6. Step 6: Final answer
    x = 27,615.17

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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.