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Finding the Fourth Proportional to 103,751.90, 155,368.65 and 83,015.90

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Solution

The fourth proportional to 103,751.90, 155,368.65 and 83,015.90 is: 124,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,751.90 : 155,368.65 = 83,015.90 : x
  2. Step 2: Convert to fraction form
    103,751.90/155,368.65 = 83,015.90/x
  3. Step 3: Cross multiply
    103,751.90x = 155,368.65 × 83,015.90
  4. Step 4: Simplify right side
    103,751.90x = 12,898,068,311.54
  5. Step 5: Solve for x
    x = 12,898,068,311.54/103,751.90
  6. Step 6: Final answer
    x = 124,316.45

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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.