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Finding the Fourth Proportional to 100,646.28, 138,890.30 and 55,323.29

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Solution

The fourth proportional to 100,646.28, 138,890.30 and 55,323.29 is: 76,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,646.28 : 138,890.30 = 55,323.29 : x
  2. Step 2: Convert to fraction form
    100,646.28/138,890.30 = 55,323.29/x
  3. Step 3: Cross multiply
    100,646.28x = 138,890.30 × 55,323.29
  4. Step 4: Simplify right side
    100,646.28x = 7,683,868,345.09
  5. Step 5: Solve for x
    x = 7,683,868,345.09/100,646.28
  6. Step 6: Final answer
    x = 76,345.28

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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.