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Finding the Fourth Proportional to 205,302.40, 307,910.40 and 86,977.60

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Solution

The fourth proportional to 205,302.40, 307,910.40 and 86,977.60 is: 130,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,302.40 : 307,910.40 = 86,977.60 : x
  2. Step 2: Convert to fraction form
    205,302.40/307,910.40 = 86,977.60/x
  3. Step 3: Cross multiply
    205,302.40x = 307,910.40 × 86,977.60
  4. Step 4: Simplify right side
    205,302.40x = 26,781,307,607.04
  5. Step 5: Solve for x
    x = 26,781,307,607.04/205,302.40
  6. Step 6: Final answer
    x = 130,448.10

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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.