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Finding the Fourth Proportional to 152,077.20, 209,858.76 and 85,009.20

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Solution

The fourth proportional to 152,077.20, 209,858.76 and 85,009.20 is: 117,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,077.20 : 209,858.76 = 85,009.20 : x
  2. Step 2: Convert to fraction form
    152,077.20/209,858.76 = 85,009.20/x
  3. Step 3: Cross multiply
    152,077.20x = 209,858.76 × 85,009.20
  4. Step 4: Simplify right side
    152,077.20x = 17,839,925,300.59
  5. Step 5: Solve for x
    x = 17,839,925,300.59/152,077.20
  6. Step 6: Final answer
    x = 117,308.35

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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.