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Finding the Fourth Proportional to 152,165.84, 209,987.64 and 85,097.84

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Solution

The fourth proportional to 152,165.84, 209,987.64 and 85,097.84 is: 117,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,165.84 : 209,987.64 = 85,097.84 : x
  2. Step 2: Convert to fraction form
    152,165.84/209,987.64 = 85,097.84/x
  3. Step 3: Cross multiply
    152,165.84x = 209,987.64 × 85,097.84
  4. Step 4: Simplify right side
    152,165.84x = 17,869,494,590.70
  5. Step 5: Solve for x
    x = 17,869,494,590.70/152,165.84
  6. Step 6: Final answer
    x = 117,434.34

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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.