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Finding the Fourth Proportional to 138,043.80, 207,284.40 and 100,864.80

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Solution

The fourth proportional to 138,043.80, 207,284.40 and 100,864.80 is: 151,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,043.80 : 207,284.40 = 100,864.80 : x
  2. Step 2: Convert to fraction form
    138,043.80/207,284.40 = 100,864.80/x
  3. Step 3: Cross multiply
    138,043.80x = 207,284.40 × 100,864.80
  4. Step 4: Simplify right side
    138,043.80x = 20,907,699,549.12
  5. Step 5: Solve for x
    x = 20,907,699,549.12/138,043.80
  6. Step 6: Final answer
    x = 151,457.00

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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.