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Finding the Fourth Proportional to 207,077.75, 310,617.06 and 57,318.47

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Solution

The fourth proportional to 207,077.75, 310,617.06 and 57,318.47 is: 85,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,077.75 : 310,617.06 = 57,318.47 : x
  2. Step 2: Convert to fraction form
    207,077.75/310,617.06 = 57,318.47/x
  3. Step 3: Cross multiply
    207,077.75x = 310,617.06 × 57,318.47
  4. Step 4: Simplify right side
    207,077.75x = 17,804,095,184.76
  5. Step 5: Solve for x
    x = 17,804,095,184.76/207,077.75
  6. Step 6: Final answer
    x = 85,977.83

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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.