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Finding the Fourth Proportional to 208,011.34, 312,055.98 and 83,362.06

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Solution

The fourth proportional to 208,011.34, 312,055.98 and 83,362.06 is: 125,058.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,011.34 : 312,055.98 = 83,362.06 : x
  2. Step 2: Convert to fraction form
    208,011.34/312,055.98 = 83,362.06/x
  3. Step 3: Cross multiply
    208,011.34x = 312,055.98 × 83,362.06
  4. Step 4: Simplify right side
    208,011.34x = 26,013,629,328.12
  5. Step 5: Solve for x
    x = 26,013,629,328.12/208,011.34
  6. Step 6: Final answer
    x = 125,058.71

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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.