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Finding the Fourth Proportional to 208,505.80, 312,315.20 and 123,024.53

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Solution

The fourth proportional to 208,505.80, 312,315.20 and 123,024.53 is: 184,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,505.80 : 312,315.20 = 123,024.53 : x
  2. Step 2: Convert to fraction form
    208,505.80/312,315.20 = 123,024.53/x
  3. Step 3: Cross multiply
    208,505.80x = 312,315.20 × 123,024.53
  4. Step 4: Simplify right side
    208,505.80x = 38,422,429,686.34
  5. Step 5: Solve for x
    x = 38,422,429,686.34/208,505.80
  6. Step 6: Final answer
    x = 184,275.11

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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.