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Finding the Fourth Proportional to 130,803.72, 180,503.82 and 74,213.88

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Solution

The fourth proportional to 130,803.72, 180,503.82 and 74,213.88 is: 102,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,803.72 : 180,503.82 = 74,213.88 : x
  2. Step 2: Convert to fraction form
    130,803.72/180,503.82 = 74,213.88/x
  3. Step 3: Cross multiply
    130,803.72x = 180,503.82 × 74,213.88
  4. Step 4: Simplify right side
    130,803.72x = 13,395,888,837.02
  5. Step 5: Solve for x
    x = 13,395,888,837.02/130,803.72
  6. Step 6: Final answer
    x = 102,412.14

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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.