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Finding the Fourth Proportional to 66,415.20, 91,769.64 and 53,096.40

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Solution

The fourth proportional to 66,415.20, 91,769.64 and 53,096.40 is: 73,366.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,415.20 : 91,769.64 = 53,096.40 : x
  2. Step 2: Convert to fraction form
    66,415.20/91,769.64 = 53,096.40/x
  3. Step 3: Cross multiply
    66,415.20x = 91,769.64 × 53,096.40
  4. Step 4: Simplify right side
    66,415.20x = 4,872,637,513.30
  5. Step 5: Solve for x
    x = 4,872,637,513.30/66,415.20
  6. Step 6: Final answer
    x = 73,366.30

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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.