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Finding the Fourth Proportional to 153,263.75, 211,390.86 and 105,532.47

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Solution

The fourth proportional to 153,263.75, 211,390.86 and 105,532.47 is: 145,556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,263.75 : 211,390.86 = 105,532.47 : x
  2. Step 2: Convert to fraction form
    153,263.75/211,390.86 = 105,532.47/x
  3. Step 3: Cross multiply
    153,263.75x = 211,390.86 × 105,532.47
  4. Step 4: Simplify right side
    153,263.75x = 22,308,599,986.97
  5. Step 5: Solve for x
    x = 22,308,599,986.97/153,263.75
  6. Step 6: Final answer
    x = 145,556.93

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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.