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Finding the Fourth Proportional to 208,437.36, 312,743.52 and 90,047.76

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Solution

The fourth proportional to 208,437.36, 312,743.52 and 90,047.76 is: 135,109.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,437.36 : 312,743.52 = 90,047.76 : x
  2. Step 2: Convert to fraction form
    208,437.36/312,743.52 = 90,047.76/x
  3. Step 3: Cross multiply
    208,437.36x = 312,743.52 × 90,047.76
  4. Step 4: Simplify right side
    208,437.36x = 28,161,853,430.52
  5. Step 5: Solve for x
    x = 28,161,853,430.52/208,437.36
  6. Step 6: Final answer
    x = 135,109.43

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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.