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Finding the Fourth Proportional to 153,546, 211,893.84 and 86,478

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Solution

The fourth proportional to 153,546, 211,893.84 and 86,478 is: 119,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,546 : 211,893.84 = 86,478 : x
  2. Step 2: Convert to fraction form
    153,546/211,893.84 = 86,478/x
  3. Step 3: Cross multiply
    153,546x = 211,893.84 × 86,478
  4. Step 4: Simplify right side
    153,546x = 18,324,155,495.52
  5. Step 5: Solve for x
    x = 18,324,155,495.52/153,546
  6. Step 6: Final answer
    x = 119,339.84

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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.