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Finding the Fourth Proportional to 153,309.25, 211,570.01 and 86,241.25

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Solution

The fourth proportional to 153,309.25, 211,570.01 and 86,241.25 is: 119,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,309.25 : 211,570.01 = 86,241.25 : x
  2. Step 2: Convert to fraction form
    153,309.25/211,570.01 = 86,241.25/x
  3. Step 3: Cross multiply
    153,309.25x = 211,570.01 × 86,241.25
  4. Step 4: Simplify right side
    153,309.25x = 18,246,061,693.71
  5. Step 5: Solve for x
    x = 18,246,061,693.71/153,309.25
  6. Step 6: Final answer
    x = 119,014.75

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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.