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Finding the Fourth Proportional to 103,415.80, 155,123.70 and 92,918.20

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Solution

The fourth proportional to 103,415.80, 155,123.70 and 92,918.20 is: 139,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,415.80 : 155,123.70 = 92,918.20 : x
  2. Step 2: Convert to fraction form
    103,415.80/155,123.70 = 92,918.20/x
  3. Step 3: Cross multiply
    103,415.80x = 155,123.70 × 92,918.20
  4. Step 4: Simplify right side
    103,415.80x = 14,413,814,981.34
  5. Step 5: Solve for x
    x = 14,413,814,981.34/103,415.80
  6. Step 6: Final answer
    x = 139,377.30

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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.