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Finding the Fourth Proportional to 140,657, 210,985.50 and 42,161

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Solution

The fourth proportional to 140,657, 210,985.50 and 42,161 is: 63,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,657 : 210,985.50 = 42,161 : x
  2. Step 2: Convert to fraction form
    140,657/210,985.50 = 42,161/x
  3. Step 3: Cross multiply
    140,657x = 210,985.50 × 42,161
  4. Step 4: Simplify right side
    140,657x = 8,895,359,665.50
  5. Step 5: Solve for x
    x = 8,895,359,665.50/140,657
  6. Step 6: Final answer
    x = 63,241.50

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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.