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Finding the Fourth Proportional to 125,985, 188,977.50 and 52,113

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Solution

The fourth proportional to 125,985, 188,977.50 and 52,113 is: 78,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,985 : 188,977.50 = 52,113 : x
  2. Step 2: Convert to fraction form
    125,985/188,977.50 = 52,113/x
  3. Step 3: Cross multiply
    125,985x = 188,977.50 × 52,113
  4. Step 4: Simplify right side
    125,985x = 9,848,184,457.50
  5. Step 5: Solve for x
    x = 9,848,184,457.50/125,985
  6. Step 6: Final answer
    x = 78,169.50

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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.