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Finding the Fourth Proportional to 130,926, 180,678.24 and 74,346.24

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Solution

The fourth proportional to 130,926, 180,678.24 and 74,346.24 is: 102,598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,926 : 180,678.24 = 74,346.24 : x
  2. Step 2: Convert to fraction form
    130,926/180,678.24 = 74,346.24/x
  3. Step 3: Cross multiply
    130,926x = 180,678.24 × 74,346.24
  4. Step 4: Simplify right side
    130,926x = 13,432,747,793.82
  5. Step 5: Solve for x
    x = 13,432,747,793.82/130,926
  6. Step 6: Final answer
    x = 102,598.02

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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.