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Finding the Fourth Proportional to 207,117.12, 310,986.72 and 118,470.72

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Solution

The fourth proportional to 207,117.12, 310,986.72 and 118,470.72 is: 177,883.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,117.12 : 310,986.72 = 118,470.72 : x
  2. Step 2: Convert to fraction form
    207,117.12/310,986.72 = 118,470.72/x
  3. Step 3: Cross multiply
    207,117.12x = 310,986.72 × 118,470.72
  4. Step 4: Simplify right side
    207,117.12x = 36,842,820,628.84
  5. Step 5: Solve for x
    x = 36,842,820,628.84/207,117.12
  6. Step 6: Final answer
    x = 177,883.99

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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.