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Finding the Fourth Proportional to 153,321.40, 211,583.22 and 86,253.40

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Solution

The fourth proportional to 153,321.40, 211,583.22 and 86,253.40 is: 119,029.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,321.40 : 211,583.22 = 86,253.40 : x
  2. Step 2: Convert to fraction form
    153,321.40/211,583.22 = 86,253.40/x
  3. Step 3: Cross multiply
    153,321.40x = 211,583.22 × 86,253.40
  4. Step 4: Simplify right side
    153,321.40x = 18,249,772,107.95
  5. Step 5: Solve for x
    x = 18,249,772,107.95/153,321.40
  6. Step 6: Final answer
    x = 119,029.52

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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.