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Finding the Fourth Proportional to 205,151.40, 307,554.30 and 106,655.40

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Solution

The fourth proportional to 205,151.40, 307,554.30 and 106,655.40 is: 159,893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,151.40 : 307,554.30 = 106,655.40 : x
  2. Step 2: Convert to fraction form
    205,151.40/307,554.30 = 106,655.40/x
  3. Step 3: Cross multiply
    205,151.40x = 307,554.30 × 106,655.40
  4. Step 4: Simplify right side
    205,151.40x = 32,802,326,888.22
  5. Step 5: Solve for x
    x = 32,802,326,888.22/205,151.40
  6. Step 6: Final answer
    x = 159,893.26

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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.