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Finding the Fourth Proportional to 72,505.76, 100,056.72 and 42,692

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Solution

The fourth proportional to 72,505.76, 100,056.72 and 42,692 is: 58,914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,505.76 : 100,056.72 = 42,692 : x
  2. Step 2: Convert to fraction form
    72,505.76/100,056.72 = 42,692/x
  3. Step 3: Cross multiply
    72,505.76x = 100,056.72 × 42,692
  4. Step 4: Simplify right side
    72,505.76x = 4,271,621,490.24
  5. Step 5: Solve for x
    x = 4,271,621,490.24/72,505.76
  6. Step 6: Final answer
    x = 58,914.24

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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.