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Finding the Fourth Proportional to 130,460.63, 180,035.66 and 73,872

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Solution

The fourth proportional to 130,460.63, 180,035.66 and 73,872 is: 101,943.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,460.63 : 180,035.66 = 73,872 : x
  2. Step 2: Convert to fraction form
    130,460.63/180,035.66 = 73,872/x
  3. Step 3: Cross multiply
    130,460.63x = 180,035.66 × 73,872
  4. Step 4: Simplify right side
    130,460.63x = 13,299,594,460.20
  5. Step 5: Solve for x
    x = 13,299,594,460.20/130,460.63
  6. Step 6: Final answer
    x = 101,943.36

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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.