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Finding the Fourth Proportional to 155,031.78, 213,796.88 and 101,362.80

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Solution

The fourth proportional to 155,031.78, 213,796.88 and 101,362.80 is: 139,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,031.78 : 213,796.88 = 101,362.80 : x
  2. Step 2: Convert to fraction form
    155,031.78/213,796.88 = 101,362.80/x
  3. Step 3: Cross multiply
    155,031.78x = 213,796.88 × 101,362.80
  4. Step 4: Simplify right side
    155,031.78x = 21,671,050,388.06
  5. Step 5: Solve for x
    x = 21,671,050,388.06/155,031.78
  6. Step 6: Final answer
    x = 139,784.57

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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.