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Finding the Fourth Proportional to 153,182.08, 211,389.24 and 86,114.08

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Solution

The fourth proportional to 153,182.08, 211,389.24 and 86,114.08 is: 118,836.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,182.08 : 211,389.24 = 86,114.08 : x
  2. Step 2: Convert to fraction form
    153,182.08/211,389.24 = 86,114.08/x
  3. Step 3: Cross multiply
    153,182.08x = 211,389.24 × 86,114.08
  4. Step 4: Simplify right side
    153,182.08x = 18,203,589,924.50
  5. Step 5: Solve for x
    x = 18,203,589,924.50/153,182.08
  6. Step 6: Final answer
    x = 118,836.29

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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.