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Finding the Fourth Proportional to 152,377.66, 210,265.16 and 84,392.84

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Solution

The fourth proportional to 152,377.66, 210,265.16 and 84,392.84 is: 116,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,377.66 : 210,265.16 = 84,392.84 : x
  2. Step 2: Convert to fraction form
    152,377.66/210,265.16 = 84,392.84/x
  3. Step 3: Cross multiply
    152,377.66x = 210,265.16 × 84,392.84
  4. Step 4: Simplify right side
    152,377.66x = 17,744,874,005.45
  5. Step 5: Solve for x
    x = 17,744,874,005.45/152,377.66
  6. Step 6: Final answer
    x = 116,453.25

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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.