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Finding the Fourth Proportional to 130,353.78, 179,846.28 and 72,984.66

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Solution

The fourth proportional to 130,353.78, 179,846.28 and 72,984.66 is: 100,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,353.78 : 179,846.28 = 72,984.66 : x
  2. Step 2: Convert to fraction form
    130,353.78/179,846.28 = 72,984.66/x
  3. Step 3: Cross multiply
    130,353.78x = 179,846.28 × 72,984.66
  4. Step 4: Simplify right side
    130,353.78x = 13,126,019,598.06
  5. Step 5: Solve for x
    x = 13,126,019,598.06/130,353.78
  6. Step 6: Final answer
    x = 100,695.35

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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.