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Finding the Fourth Proportional to 152,955.84, 211,071.88 and 84,977.20

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Solution

The fourth proportional to 152,955.84, 211,071.88 and 84,977.20 is: 117,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,955.84 : 211,071.88 = 84,977.20 : x
  2. Step 2: Convert to fraction form
    152,955.84/211,071.88 = 84,977.20/x
  3. Step 3: Cross multiply
    152,955.84x = 211,071.88 × 84,977.20
  4. Step 4: Simplify right side
    152,955.84x = 17,936,297,361.14
  5. Step 5: Solve for x
    x = 17,936,297,361.14/152,955.84
  6. Step 6: Final answer
    x = 117,264.55

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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.