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Finding the Fourth Proportional to 205,103.60, 307,655.40 and 64,905.20

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Solution

The fourth proportional to 205,103.60, 307,655.40 and 64,905.20 is: 97,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,103.60 : 307,655.40 = 64,905.20 : x
  2. Step 2: Convert to fraction form
    205,103.60/307,655.40 = 64,905.20/x
  3. Step 3: Cross multiply
    205,103.60x = 307,655.40 × 64,905.20
  4. Step 4: Simplify right side
    205,103.60x = 19,968,435,268.08
  5. Step 5: Solve for x
    x = 19,968,435,268.08/205,103.60
  6. Step 6: Final answer
    x = 97,357.80

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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.