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Finding the Fourth Proportional to 53,412.88, 80,124 and 13,969.84

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Solution

The fourth proportional to 53,412.88, 80,124 and 13,969.84 is: 20,955.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,412.88 : 80,124 = 13,969.84 : x
  2. Step 2: Convert to fraction form
    53,412.88/80,124 = 13,969.84/x
  3. Step 3: Cross multiply
    53,412.88x = 80,124 × 13,969.84
  4. Step 4: Simplify right side
    53,412.88x = 1,119,319,460.16
  5. Step 5: Solve for x
    x = 1,119,319,460.16/53,412.88
  6. Step 6: Final answer
    x = 20,955.98

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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.