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Finding the Fourth Proportional to 103,297.60, 154,946.40 and 86,567.05

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Solution

The fourth proportional to 103,297.60, 154,946.40 and 86,567.05 is: 129,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,297.60 : 154,946.40 = 86,567.05 : x
  2. Step 2: Convert to fraction form
    103,297.60/154,946.40 = 86,567.05/x
  3. Step 3: Cross multiply
    103,297.60x = 154,946.40 × 86,567.05
  4. Step 4: Simplify right side
    103,297.60x = 13,413,252,756.12
  5. Step 5: Solve for x
    x = 13,413,252,756.12/103,297.60
  6. Step 6: Final answer
    x = 129,850.58

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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.