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Finding the Fourth Proportional to 102,969.30, 154,259.55 and 52,878.90

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Solution

The fourth proportional to 102,969.30, 154,259.55 and 52,878.90 is: 79,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,969.30 : 154,259.55 = 52,878.90 : x
  2. Step 2: Convert to fraction form
    102,969.30/154,259.55 = 52,878.90/x
  3. Step 3: Cross multiply
    102,969.30x = 154,259.55 × 52,878.90
  4. Step 4: Simplify right side
    102,969.30x = 8,157,075,318.50
  5. Step 5: Solve for x
    x = 8,157,075,318.50/102,969.30
  6. Step 6: Final answer
    x = 79,218.52

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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.