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Finding the Fourth Proportional to 136,946.70, 205,420.05 and 77,897.70

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Solution

The fourth proportional to 136,946.70, 205,420.05 and 77,897.70 is: 116,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,946.70 : 205,420.05 = 77,897.70 : x
  2. Step 2: Convert to fraction form
    136,946.70/205,420.05 = 77,897.70/x
  3. Step 3: Cross multiply
    136,946.70x = 205,420.05 × 77,897.70
  4. Step 4: Simplify right side
    136,946.70x = 16,001,749,428.89
  5. Step 5: Solve for x
    x = 16,001,749,428.89/136,946.70
  6. Step 6: Final answer
    x = 116,846.55

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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.