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Finding the Fourth Proportional to 97,886.54, 135,051.30 and 54,859.76

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Solution

The fourth proportional to 97,886.54, 135,051.30 and 54,859.76 is: 75,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,886.54 : 135,051.30 = 54,859.76 : x
  2. Step 2: Convert to fraction form
    97,886.54/135,051.30 = 54,859.76/x
  3. Step 3: Cross multiply
    97,886.54x = 135,051.30 × 54,859.76
  4. Step 4: Simplify right side
    97,886.54x = 7,408,881,905.69
  5. Step 5: Solve for x
    x = 7,408,881,905.69/97,886.54
  6. Step 6: Final answer
    x = 75,688.46

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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.