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Finding the Fourth Proportional to 130,364.64, 179,904.96 and 76,649.76

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Solution

The fourth proportional to 130,364.64, 179,904.96 and 76,649.76 is: 105,777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,364.64 : 179,904.96 = 76,649.76 : x
  2. Step 2: Convert to fraction form
    130,364.64/179,904.96 = 76,649.76/x
  3. Step 3: Cross multiply
    130,364.64x = 179,904.96 × 76,649.76
  4. Step 4: Simplify right side
    130,364.64x = 13,789,672,006.81
  5. Step 5: Solve for x
    x = 13,789,672,006.81/130,364.64
  6. Step 6: Final answer
    x = 105,777.70

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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.