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Finding the Fourth Proportional to 108,053.80, 162,007.80 and 51,920.80

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Solution

The fourth proportional to 108,053.80, 162,007.80 and 51,920.80 is: 77,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,053.80 : 162,007.80 = 51,920.80 : x
  2. Step 2: Convert to fraction form
    108,053.80/162,007.80 = 51,920.80/x
  3. Step 3: Cross multiply
    108,053.80x = 162,007.80 × 51,920.80
  4. Step 4: Simplify right side
    108,053.80x = 8,411,574,582.24
  5. Step 5: Solve for x
    x = 8,411,574,582.24/108,053.80
  6. Step 6: Final answer
    x = 77,846.17

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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.