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Finding the Fourth Proportional to 76,530.60, 105,611.64 and 42,996.60

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Solution

The fourth proportional to 76,530.60, 105,611.64 and 42,996.60 is: 59,334.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,530.60 : 105,611.64 = 42,996.60 : x
  2. Step 2: Convert to fraction form
    76,530.60/105,611.64 = 42,996.60/x
  3. Step 3: Cross multiply
    76,530.60x = 105,611.64 × 42,996.60
  4. Step 4: Simplify right side
    76,530.60x = 4,540,941,440.42
  5. Step 5: Solve for x
    x = 4,540,941,440.42/76,530.60
  6. Step 6: Final answer
    x = 59,334.98

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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.