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Finding the Fourth Proportional to 100,258.90, 138,358.65 and 54,935.98

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Solution

The fourth proportional to 100,258.90, 138,358.65 and 54,935.98 is: 75,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,258.90 : 138,358.65 = 54,935.98 : x
  2. Step 2: Convert to fraction form
    100,258.90/138,358.65 = 54,935.98/x
  3. Step 3: Cross multiply
    100,258.90x = 138,358.65 × 54,935.98
  4. Step 4: Simplify right side
    100,258.90x = 7,600,868,029.23
  5. Step 5: Solve for x
    x = 7,600,868,029.23/100,258.90
  6. Step 6: Final answer
    x = 75,812.40

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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.