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Finding the Fourth Proportional to 181,802.68, 272,805.58 and 105,989.32

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Solution

The fourth proportional to 181,802.68, 272,805.58 and 105,989.32 is: 159,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,802.68 : 272,805.58 = 105,989.32 : x
  2. Step 2: Convert to fraction form
    181,802.68/272,805.58 = 105,989.32/x
  3. Step 3: Cross multiply
    181,802.68x = 272,805.58 × 105,989.32
  4. Step 4: Simplify right side
    181,802.68x = 28,914,477,916.41
  5. Step 5: Solve for x
    x = 28,914,477,916.41/181,802.68
  6. Step 6: Final answer
    x = 159,043.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.