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Finding the Fourth Proportional to 97,980.66, 135,218.64 and 54,973.76

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Solution

The fourth proportional to 97,980.66, 135,218.64 and 54,973.76 is: 75,866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,980.66 : 135,218.64 = 54,973.76 : x
  2. Step 2: Convert to fraction form
    97,980.66/135,218.64 = 54,973.76/x
  3. Step 3: Cross multiply
    97,980.66x = 135,218.64 × 54,973.76
  4. Step 4: Simplify right side
    97,980.66x = 7,433,476,386.79
  5. Step 5: Solve for x
    x = 7,433,476,386.79/97,980.66
  6. Step 6: Final answer
    x = 75,866.77

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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.