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Finding the Fourth Proportional to 138,701.08, 208,106.70 and 45,207.64

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Solution

The fourth proportional to 138,701.08, 208,106.70 and 45,207.64 is: 67,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,701.08 : 208,106.70 = 45,207.64 : x
  2. Step 2: Convert to fraction form
    138,701.08/208,106.70 = 45,207.64/x
  3. Step 3: Cross multiply
    138,701.08x = 208,106.70 × 45,207.64
  4. Step 4: Simplify right side
    138,701.08x = 9,408,012,775.19
  5. Step 5: Solve for x
    x = 9,408,012,775.19/138,701.08
  6. Step 6: Final answer
    x = 67,829.41

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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.