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Finding the Fourth Proportional to 153,309.84, 211,567.08 and 85,326.48

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Solution

The fourth proportional to 153,309.84, 211,567.08 and 85,326.48 is: 117,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,309.84 : 211,567.08 = 85,326.48 : x
  2. Step 2: Convert to fraction form
    153,309.84/211,567.08 = 85,326.48/x
  3. Step 3: Cross multiply
    153,309.84x = 211,567.08 × 85,326.48
  4. Step 4: Simplify right side
    153,309.84x = 18,052,274,220.28
  5. Step 5: Solve for x
    x = 18,052,274,220.28/153,309.84
  6. Step 6: Final answer
    x = 117,750.26

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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.