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Finding the Fourth Proportional to 103,985.64, 155,989.40 and 33,870.42

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Solution

The fourth proportional to 103,985.64, 155,989.40 and 33,870.42 is: 50,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,985.64 : 155,989.40 = 33,870.42 : x
  2. Step 2: Convert to fraction form
    103,985.64/155,989.40 = 33,870.42/x
  3. Step 3: Cross multiply
    103,985.64x = 155,989.40 × 33,870.42
  4. Step 4: Simplify right side
    103,985.64x = 5,283,426,324.20
  5. Step 5: Solve for x
    x = 5,283,426,324.20/103,985.64
  6. Step 6: Final answer
    x = 50,809.19

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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.