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Finding the Fourth Proportional to 61,636, 85,057.68 and 35,140

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Solution

The fourth proportional to 61,636, 85,057.68 and 35,140 is: 48,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,636 : 85,057.68 = 35,140 : x
  2. Step 2: Convert to fraction form
    61,636/85,057.68 = 35,140/x
  3. Step 3: Cross multiply
    61,636x = 85,057.68 × 35,140
  4. Step 4: Simplify right side
    61,636x = 2,988,926,875.20
  5. Step 5: Solve for x
    x = 2,988,926,875.20/61,636
  6. Step 6: Final answer
    x = 48,493.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.