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Finding the Fourth Proportional to 152,772.64, 210,823.07 and 84,785.66

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Solution

The fourth proportional to 152,772.64, 210,823.07 and 84,785.66 is: 117,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,772.64 : 210,823.07 = 84,785.66 : x
  2. Step 2: Convert to fraction form
    152,772.64/210,823.07 = 84,785.66/x
  3. Step 3: Cross multiply
    152,772.64x = 210,823.07 × 84,785.66
  4. Step 4: Simplify right side
    152,772.64x = 17,874,772,709.25
  5. Step 5: Solve for x
    x = 17,874,772,709.25/152,772.64
  6. Step 6: Final answer
    x = 117,002.45

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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.