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Finding the Fourth Proportional to 102,003.30, 153,004.95 and 74,009.70

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Solution

The fourth proportional to 102,003.30, 153,004.95 and 74,009.70 is: 111,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,003.30 : 153,004.95 = 74,009.70 : x
  2. Step 2: Convert to fraction form
    102,003.30/153,004.95 = 74,009.70/x
  3. Step 3: Cross multiply
    102,003.30x = 153,004.95 × 74,009.70
  4. Step 4: Simplify right side
    102,003.30x = 11,323,850,448.02
  5. Step 5: Solve for x
    x = 11,323,850,448.02/102,003.30
  6. Step 6: Final answer
    x = 111,014.55

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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.