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Finding the Fourth Proportional to 202,970.58, 280,031.13 and 118,017.78

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Solution

The fourth proportional to 202,970.58, 280,031.13 and 118,017.78 is: 162,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,970.58 : 280,031.13 = 118,017.78 : x
  2. Step 2: Convert to fraction form
    202,970.58/280,031.13 = 118,017.78/x
  3. Step 3: Cross multiply
    202,970.58x = 280,031.13 × 118,017.78
  4. Step 4: Simplify right side
    202,970.58x = 33,048,652,293.49
  5. Step 5: Solve for x
    x = 33,048,652,293.49/202,970.58
  6. Step 6: Final answer
    x = 162,824.84

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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.