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Finding the Fourth Proportional to 152,175.84, 210,008.84 and 84,191.64

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Solution

The fourth proportional to 152,175.84, 210,008.84 and 84,191.64 is: 116,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,175.84 : 210,008.84 = 84,191.64 : x
  2. Step 2: Convert to fraction form
    152,175.84/210,008.84 = 84,191.64/x
  3. Step 3: Cross multiply
    152,175.84x = 210,008.84 × 84,191.64
  4. Step 4: Simplify right side
    152,175.84x = 17,680,988,654.10
  5. Step 5: Solve for x
    x = 17,680,988,654.10/152,175.84
  6. Step 6: Final answer
    x = 116,187.88

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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.