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Finding the Fourth Proportional to 153,344.96, 211,604.64 and 86,264

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Solution

The fourth proportional to 153,344.96, 211,604.64 and 86,264 is: 119,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,344.96 : 211,604.64 = 86,264 : x
  2. Step 2: Convert to fraction form
    153,344.96/211,604.64 = 86,264/x
  3. Step 3: Cross multiply
    153,344.96x = 211,604.64 × 86,264
  4. Step 4: Simplify right side
    153,344.96x = 18,253,862,664.96
  5. Step 5: Solve for x
    x = 18,253,862,664.96/153,344.96
  6. Step 6: Final answer
    x = 119,037.90

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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.