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Finding the Fourth Proportional to 103,820, 155,756.01 and 29,948

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Solution

The fourth proportional to 103,820, 155,756.01 and 29,948 is: 44,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,820 : 155,756.01 = 29,948 : x
  2. Step 2: Convert to fraction form
    103,820/155,756.01 = 29,948/x
  3. Step 3: Cross multiply
    103,820x = 155,756.01 × 29,948
  4. Step 4: Simplify right side
    103,820x = 4,664,580,987.48
  5. Step 5: Solve for x
    x = 4,664,580,987.48/103,820
  6. Step 6: Final answer
    x = 44,929.50

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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.