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Finding the Fourth Proportional to 140,638.16, 210,810.36 and 84,478.16

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Solution

The fourth proportional to 140,638.16, 210,810.36 and 84,478.16 is: 126,629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,638.16 : 210,810.36 = 84,478.16 : x
  2. Step 2: Convert to fraction form
    140,638.16/210,810.36 = 84,478.16/x
  3. Step 3: Cross multiply
    140,638.16x = 210,810.36 × 84,478.16
  4. Step 4: Simplify right side
    140,638.16x = 17,808,871,321.74
  5. Step 5: Solve for x
    x = 17,808,871,321.74/140,638.16
  6. Step 6: Final answer
    x = 126,629.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.