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Finding the Fourth Proportional to 77,703.62, 116,538.08 and 30,319.97

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Solution

The fourth proportional to 77,703.62, 116,538.08 and 30,319.97 is: 45,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,703.62 : 116,538.08 = 30,319.97 : x
  2. Step 2: Convert to fraction form
    77,703.62/116,538.08 = 30,319.97/x
  3. Step 3: Cross multiply
    77,703.62x = 116,538.08 × 30,319.97
  4. Step 4: Simplify right side
    77,703.62x = 3,533,430,355.17
  5. Step 5: Solve for x
    x = 3,533,430,355.17/77,703.62
  6. Step 6: Final answer
    x = 45,473.18

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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.