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Finding the Fourth Proportional to 140,985, 211,477.50 and 42,489

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Solution

The fourth proportional to 140,985, 211,477.50 and 42,489 is: 63,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,985 : 211,477.50 = 42,489 : x
  2. Step 2: Convert to fraction form
    140,985/211,477.50 = 42,489/x
  3. Step 3: Cross multiply
    140,985x = 211,477.50 × 42,489
  4. Step 4: Simplify right side
    140,985x = 8,985,467,497.50
  5. Step 5: Solve for x
    x = 8,985,467,497.50/140,985
  6. Step 6: Final answer
    x = 63,733.50

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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.