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Finding the Fourth Proportional to 207,195.72, 310,762.82 and 57,420.40

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Solution

The fourth proportional to 207,195.72, 310,762.82 and 57,420.40 is: 86,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,195.72 : 310,762.82 = 57,420.40 : x
  2. Step 2: Convert to fraction form
    207,195.72/310,762.82 = 57,420.40/x
  3. Step 3: Cross multiply
    207,195.72x = 310,762.82 × 57,420.40
  4. Step 4: Simplify right side
    207,195.72x = 17,844,125,429.53
  5. Step 5: Solve for x
    x = 17,844,125,429.53/207,195.72
  6. Step 6: Final answer
    x = 86,122.08

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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.