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Finding the Fourth Proportional to 207,021.60, 310,065.84 and 123,740.64

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Solution

The fourth proportional to 207,021.60, 310,065.84 and 123,740.64 is: 185,332.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,021.60 : 310,065.84 = 123,740.64 : x
  2. Step 2: Convert to fraction form
    207,021.60/310,065.84 = 123,740.64/x
  3. Step 3: Cross multiply
    207,021.60x = 310,065.84 × 123,740.64
  4. Step 4: Simplify right side
    207,021.60x = 38,367,745,483.74
  5. Step 5: Solve for x
    x = 38,367,745,483.74/207,021.60
  6. Step 6: Final answer
    x = 185,332.09

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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.