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Finding the Fourth Proportional to 150,987.95, 208,362.78 and 83,009.22

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Solution

The fourth proportional to 150,987.95, 208,362.78 and 83,009.22 is: 114,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,987.95 : 208,362.78 = 83,009.22 : x
  2. Step 2: Convert to fraction form
    150,987.95/208,362.78 = 83,009.22/x
  3. Step 3: Cross multiply
    150,987.95x = 208,362.78 × 83,009.22
  4. Step 4: Simplify right side
    150,987.95x = 17,296,031,844.83
  5. Step 5: Solve for x
    x = 17,296,031,844.83/150,987.95
  6. Step 6: Final answer
    x = 114,552.40

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1.5x scale

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.