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Finding the Fourth Proportional to 152,029.68, 209,801.28 and 84,961.68

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Solution

The fourth proportional to 152,029.68, 209,801.28 and 84,961.68 is: 117,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,029.68 : 209,801.28 = 84,961.68 : x
  2. Step 2: Convert to fraction form
    152,029.68/209,801.28 = 84,961.68/x
  3. Step 3: Cross multiply
    152,029.68x = 209,801.28 × 84,961.68
  4. Step 4: Simplify right side
    152,029.68x = 17,825,069,214.95
  5. Step 5: Solve for x
    x = 17,825,069,214.95/152,029.68
  6. Step 6: Final answer
    x = 117,247.30

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1.5x scale

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.