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Finding the Fourth Proportional to 65,457.69, 90,329.27 and 40,006.64

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Solution

The fourth proportional to 65,457.69, 90,329.27 and 40,006.64 is: 55,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,457.69 : 90,329.27 = 40,006.64 : x
  2. Step 2: Convert to fraction form
    65,457.69/90,329.27 = 40,006.64/x
  3. Step 3: Cross multiply
    65,457.69x = 90,329.27 × 40,006.64
  4. Step 4: Simplify right side
    65,457.69x = 3,613,769,934.67
  5. Step 5: Solve for x
    x = 3,613,769,934.67/65,457.69
  6. Step 6: Final answer
    x = 55,207.72

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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.