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Finding the Fourth Proportional to 130,208, 179,665.44 and 81,802.40

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Solution

The fourth proportional to 130,208, 179,665.44 and 81,802.40 is: 112,873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,208 : 179,665.44 = 81,802.40 : x
  2. Step 2: Convert to fraction form
    130,208/179,665.44 = 81,802.40/x
  3. Step 3: Cross multiply
    130,208x = 179,665.44 × 81,802.40
  4. Step 4: Simplify right side
    130,208x = 14,697,064,189.06
  5. Step 5: Solve for x
    x = 14,697,064,189.06/130,208
  6. Step 6: Final answer
    x = 112,873.74

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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.