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Finding the Fourth Proportional to 100,300.06, 138,407.70 and 54,970.03

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Solution

The fourth proportional to 100,300.06, 138,407.70 and 54,970.03 is: 75,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,300.06 : 138,407.70 = 54,970.03 : x
  2. Step 2: Convert to fraction form
    100,300.06/138,407.70 = 54,970.03/x
  3. Step 3: Cross multiply
    100,300.06x = 138,407.70 × 54,970.03
  4. Step 4: Simplify right side
    100,300.06x = 7,608,275,421.23
  5. Step 5: Solve for x
    x = 7,608,275,421.23/100,300.06
  6. Step 6: Final answer
    x = 75,855.14

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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.