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Finding the Fourth Proportional to 245,897.79, 368,814.37 and 77,419

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Solution

The fourth proportional to 245,897.79, 368,814.37 and 77,419 is: 116,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,897.79 : 368,814.37 = 77,419 : x
  2. Step 2: Convert to fraction form
    245,897.79/368,814.37 = 77,419/x
  3. Step 3: Cross multiply
    245,897.79x = 368,814.37 × 77,419
  4. Step 4: Simplify right side
    245,897.79x = 28,553,239,711.03
  5. Step 5: Solve for x
    x = 28,553,239,711.03/245,897.79
  6. Step 6: Final answer
    x = 116,118.33

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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.