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Finding the Fourth Proportional to 245,754, 368,689.50 and 79,542

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Solution

The fourth proportional to 245,754, 368,689.50 and 79,542 is: 119,331.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,754 : 368,689.50 = 79,542 : x
  2. Step 2: Convert to fraction form
    245,754/368,689.50 = 79,542/x
  3. Step 3: Cross multiply
    245,754x = 368,689.50 × 79,542
  4. Step 4: Simplify right side
    245,754x = 29,326,300,209
  5. Step 5: Solve for x
    x = 29,326,300,209/245,754
  6. Step 6: Final answer
    x = 119,331.93

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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.