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Finding the Fourth Proportional to 84,400.80, 116,480.16 and 48,602.40

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Solution

The fourth proportional to 84,400.80, 116,480.16 and 48,602.40 is: 67,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,400.80 : 116,480.16 = 48,602.40 : x
  2. Step 2: Convert to fraction form
    84,400.80/116,480.16 = 48,602.40/x
  3. Step 3: Cross multiply
    84,400.80x = 116,480.16 × 48,602.40
  4. Step 4: Simplify right side
    84,400.80x = 5,661,215,328.38
  5. Step 5: Solve for x
    x = 5,661,215,328.38/84,400.80
  6. Step 6: Final answer
    x = 67,075.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.