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Finding the Fourth Proportional to 136,929.60, 205,394.40 and 77,880.60

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Solution

The fourth proportional to 136,929.60, 205,394.40 and 77,880.60 is: 116,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,929.60 : 205,394.40 = 77,880.60 : x
  2. Step 2: Convert to fraction form
    136,929.60/205,394.40 = 77,880.60/x
  3. Step 3: Cross multiply
    136,929.60x = 205,394.40 × 77,880.60
  4. Step 4: Simplify right side
    136,929.60x = 15,996,239,108.64
  5. Step 5: Solve for x
    x = 15,996,239,108.64/136,929.60
  6. Step 6: Final answer
    x = 116,820.90

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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.