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Finding the Fourth Proportional to 103,734.90, 155,602.35 and 78,851.70

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Solution

The fourth proportional to 103,734.90, 155,602.35 and 78,851.70 is: 118,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,734.90 : 155,602.35 = 78,851.70 : x
  2. Step 2: Convert to fraction form
    103,734.90/155,602.35 = 78,851.70/x
  3. Step 3: Cross multiply
    103,734.90x = 155,602.35 × 78,851.70
  4. Step 4: Simplify right side
    103,734.90x = 12,269,509,821.50
  5. Step 5: Solve for x
    x = 12,269,509,821.50/103,734.90
  6. Step 6: Final answer
    x = 118,277.55

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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.