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Finding the Fourth Proportional to 102,536.78, 141,500.58 and 57,212

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Solution

The fourth proportional to 102,536.78, 141,500.58 and 57,212 is: 78,952.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,536.78 : 141,500.58 = 57,212 : x
  2. Step 2: Convert to fraction form
    102,536.78/141,500.58 = 57,212/x
  3. Step 3: Cross multiply
    102,536.78x = 141,500.58 × 57,212
  4. Step 4: Simplify right side
    102,536.78x = 8,095,531,182.96
  5. Step 5: Solve for x
    x = 8,095,531,182.96/102,536.78
  6. Step 6: Final answer
    x = 78,952.46

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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.