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Finding the Fourth Proportional to 136,978.80, 205,322.40 and 52,706.40

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Solution

The fourth proportional to 136,978.80, 205,322.40 and 52,706.40 is: 79,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,978.80 : 205,322.40 = 52,706.40 : x
  2. Step 2: Convert to fraction form
    136,978.80/205,322.40 = 52,706.40/x
  3. Step 3: Cross multiply
    136,978.80x = 205,322.40 × 52,706.40
  4. Step 4: Simplify right side
    136,978.80x = 10,821,804,543.36
  5. Step 5: Solve for x
    x = 10,821,804,543.36/136,978.80
  6. Step 6: Final answer
    x = 79,003.50

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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.