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Finding the Fourth Proportional to 103,661.85, 155,656.80 and 78,730.05

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Solution

The fourth proportional to 103,661.85, 155,656.80 and 78,730.05 is: 118,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,661.85 : 155,656.80 = 78,730.05 : x
  2. Step 2: Convert to fraction form
    103,661.85/155,656.80 = 78,730.05/x
  3. Step 3: Cross multiply
    103,661.85x = 155,656.80 × 78,730.05
  4. Step 4: Simplify right side
    103,661.85x = 12,254,867,646.84
  5. Step 5: Solve for x
    x = 12,254,867,646.84/103,661.85
  6. Step 6: Final answer
    x = 118,219.65

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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.