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Finding the Fourth Proportional to 130,174.68, 179,583.12 and 84,842.16

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Solution

The fourth proportional to 130,174.68, 179,583.12 and 84,842.16 is: 117,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,174.68 : 179,583.12 = 84,842.16 : x
  2. Step 2: Convert to fraction form
    130,174.68/179,583.12 = 84,842.16/x
  3. Step 3: Cross multiply
    130,174.68x = 179,583.12 × 84,842.16
  4. Step 4: Simplify right side
    130,174.68x = 15,236,219,800.34
  5. Step 5: Solve for x
    x = 15,236,219,800.34/130,174.68
  6. Step 6: Final answer
    x = 117,044.42

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1.5x scale

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.