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Finding the Fourth Proportional to 76,881.64, 106,096.80 and 42,892.36

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Solution

The fourth proportional to 76,881.64, 106,096.80 and 42,892.36 is: 59,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,881.64 : 106,096.80 = 42,892.36 : x
  2. Step 2: Convert to fraction form
    76,881.64/106,096.80 = 42,892.36/x
  3. Step 3: Cross multiply
    76,881.64x = 106,096.80 × 42,892.36
  4. Step 4: Simplify right side
    76,881.64x = 4,550,742,140.45
  5. Step 5: Solve for x
    x = 4,550,742,140.45/76,881.64
  6. Step 6: Final answer
    x = 59,191.53

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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.