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Finding the Fourth Proportional to 207,454, 311,111.60 and 81,061.46

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Solution

The fourth proportional to 207,454, 311,111.60 and 81,061.46 is: 121,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,454 : 311,111.60 = 81,061.46 : x
  2. Step 2: Convert to fraction form
    207,454/311,111.60 = 81,061.46/x
  3. Step 3: Cross multiply
    207,454x = 311,111.60 × 81,061.46
  4. Step 4: Simplify right side
    207,454x = 25,219,160,518.94
  5. Step 5: Solve for x
    x = 25,219,160,518.94/207,454
  6. Step 6: Final answer
    x = 121,565.07

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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.