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Finding the Fourth Proportional to 98,142.63, 135,436.82 and 53,430.63

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Solution

The fourth proportional to 98,142.63, 135,436.82 and 53,430.63 is: 73,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,142.63 : 135,436.82 = 53,430.63 : x
  2. Step 2: Convert to fraction form
    98,142.63/135,436.82 = 53,430.63/x
  3. Step 3: Cross multiply
    98,142.63x = 135,436.82 × 53,430.63
  4. Step 4: Simplify right side
    98,142.63x = 7,236,474,617.80
  5. Step 5: Solve for x
    x = 7,236,474,617.80/98,142.63
  6. Step 6: Final answer
    x = 73,734.26

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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.