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Finding the Fourth Proportional to 100,707.84, 138,754.08 and 73,820.16

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Solution

The fourth proportional to 100,707.84, 138,754.08 and 73,820.16 is: 101,708.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,707.84 : 138,754.08 = 73,820.16 : x
  2. Step 2: Convert to fraction form
    100,707.84/138,754.08 = 73,820.16/x
  3. Step 3: Cross multiply
    100,707.84x = 138,754.08 × 73,820.16
  4. Step 4: Simplify right side
    100,707.84x = 10,242,848,386.25
  5. Step 5: Solve for x
    x = 10,242,848,386.25/100,707.84
  6. Step 6: Final answer
    x = 101,708.55

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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.