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Finding the Fourth Proportional to 132,613.16, 183,010.64 and 72,186

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Solution

The fourth proportional to 132,613.16, 183,010.64 and 72,186 is: 99,619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,613.16 : 183,010.64 = 72,186 : x
  2. Step 2: Convert to fraction form
    132,613.16/183,010.64 = 72,186/x
  3. Step 3: Cross multiply
    132,613.16x = 183,010.64 × 72,186
  4. Step 4: Simplify right side
    132,613.16x = 13,210,805,698.11
  5. Step 5: Solve for x
    x = 13,210,805,698.11/132,613.16
  6. Step 6: Final answer
    x = 99,619.12

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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.