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Finding the Fourth Proportional to 245,746, 368,677.50 and 79,534

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Solution

The fourth proportional to 245,746, 368,677.50 and 79,534 is: 119,319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,746 : 368,677.50 = 79,534 : x
  2. Step 2: Convert to fraction form
    245,746/368,677.50 = 79,534/x
  3. Step 3: Cross multiply
    245,746x = 368,677.50 × 79,534
  4. Step 4: Simplify right side
    245,746x = 29,322,396,285
  5. Step 5: Solve for x
    x = 29,322,396,285/245,746
  6. Step 6: Final answer
    x = 119,319.93

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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.