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Finding the Fourth Proportional to 102,051.51, 140,834.13 and 61,772.64

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Solution

The fourth proportional to 102,051.51, 140,834.13 and 61,772.64 is: 85,248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,051.51 : 140,834.13 = 61,772.64 : x
  2. Step 2: Convert to fraction form
    102,051.51/140,834.13 = 61,772.64/x
  3. Step 3: Cross multiply
    102,051.51x = 140,834.13 × 61,772.64
  4. Step 4: Simplify right side
    102,051.51x = 8,699,696,012.20
  5. Step 5: Solve for x
    x = 8,699,696,012.20/102,051.51
  6. Step 6: Final answer
    x = 85,248.09

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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.