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Finding the Fourth Proportional to 136,946.20, 205,419.30 and 77,897.20

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Solution

The fourth proportional to 136,946.20, 205,419.30 and 77,897.20 is: 116,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,946.20 : 205,419.30 = 77,897.20 : x
  2. Step 2: Convert to fraction form
    136,946.20/205,419.30 = 77,897.20/x
  3. Step 3: Cross multiply
    136,946.20x = 205,419.30 × 77,897.20
  4. Step 4: Simplify right side
    136,946.20x = 16,001,588,295.96
  5. Step 5: Solve for x
    x = 16,001,588,295.96/136,946.20
  6. Step 6: Final answer
    x = 116,845.80

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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.