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Finding the Fourth Proportional to 89,013.40, 122,849.40 and 53,203.12

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Solution

The fourth proportional to 89,013.40, 122,849.40 and 53,203.12 is: 73,426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,013.40 : 122,849.40 = 53,203.12 : x
  2. Step 2: Convert to fraction form
    89,013.40/122,849.40 = 53,203.12/x
  3. Step 3: Cross multiply
    89,013.40x = 122,849.40 × 53,203.12
  4. Step 4: Simplify right side
    89,013.40x = 6,535,971,370.13
  5. Step 5: Solve for x
    x = 6,535,971,370.13/89,013.40
  6. Step 6: Final answer
    x = 73,426.83

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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.