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Finding the Fourth Proportional to 138,751.63, 191,317.63 and 102,505.52

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Solution

The fourth proportional to 138,751.63, 191,317.63 and 102,505.52 is: 141,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,751.63 : 191,317.63 = 102,505.52 : x
  2. Step 2: Convert to fraction form
    138,751.63/191,317.63 = 102,505.52/x
  3. Step 3: Cross multiply
    138,751.63x = 191,317.63 × 102,505.52
  4. Step 4: Simplify right side
    138,751.63x = 19,611,111,935.47
  5. Step 5: Solve for x
    x = 19,611,111,935.47/138,751.63
  6. Step 6: Final answer
    x = 141,339.69

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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.