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Finding the Fourth Proportional to 245,896.80, 368,812.88 and 77,418

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Solution

The fourth proportional to 245,896.80, 368,812.88 and 77,418 is: 116,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,896.80 : 368,812.88 = 77,418 : x
  2. Step 2: Convert to fraction form
    245,896.80/368,812.88 = 77,418/x
  3. Step 3: Cross multiply
    245,896.80x = 368,812.88 × 77,418
  4. Step 4: Simplify right side
    245,896.80x = 28,552,755,543.84
  5. Step 5: Solve for x
    x = 28,552,755,543.84/245,896.80
  6. Step 6: Final answer
    x = 116,116.82

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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.