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Finding the Fourth Proportional to 53,427.60, 80,157.60 and 30,038.40

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Solution

The fourth proportional to 53,427.60, 80,157.60 and 30,038.40 is: 45,066.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,427.60 : 80,157.60 = 30,038.40 : x
  2. Step 2: Convert to fraction form
    53,427.60/80,157.60 = 30,038.40/x
  3. Step 3: Cross multiply
    53,427.60x = 80,157.60 × 30,038.40
  4. Step 4: Simplify right side
    53,427.60x = 2,407,806,051.84
  5. Step 5: Solve for x
    x = 2,407,806,051.84/53,427.60
  6. Step 6: Final answer
    x = 45,066.71

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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.