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Finding the Fourth Proportional to 103,477.90, 155,216.85 and 71,985.10

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Solution

The fourth proportional to 103,477.90, 155,216.85 and 71,985.10 is: 107,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,477.90 : 155,216.85 = 71,985.10 : x
  2. Step 2: Convert to fraction form
    103,477.90/155,216.85 = 71,985.10/x
  3. Step 3: Cross multiply
    103,477.90x = 155,216.85 × 71,985.10
  4. Step 4: Simplify right side
    103,477.90x = 11,173,300,468.94
  5. Step 5: Solve for x
    x = 11,173,300,468.94/103,477.90
  6. Step 6: Final answer
    x = 107,977.65

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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.