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Finding the Fourth Proportional to 100,056.60, 150,128.64 and 53,298

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Solution

The fourth proportional to 100,056.60, 150,128.64 and 53,298 is: 79,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,056.60 : 150,128.64 = 53,298 : x
  2. Step 2: Convert to fraction form
    100,056.60/150,128.64 = 53,298/x
  3. Step 3: Cross multiply
    100,056.60x = 150,128.64 × 53,298
  4. Step 4: Simplify right side
    100,056.60x = 8,001,556,254.72
  5. Step 5: Solve for x
    x = 8,001,556,254.72/100,056.60
  6. Step 6: Final answer
    x = 79,970.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.