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Finding the Fourth Proportional to 97,802.87, 134,958.62 and 77,708.39

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Solution

The fourth proportional to 97,802.87, 134,958.62 and 77,708.39 is: 107,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,802.87 : 134,958.62 = 77,708.39 : x
  2. Step 2: Convert to fraction form
    97,802.87/134,958.62 = 77,708.39/x
  3. Step 3: Cross multiply
    97,802.87x = 134,958.62 × 77,708.39
  4. Step 4: Simplify right side
    97,802.87x = 10,487,416,596.30
  5. Step 5: Solve for x
    x = 10,487,416,596.30/97,802.87
  6. Step 6: Final answer
    x = 107,230.16

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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.