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Finding the Fourth Proportional to 152,891.84, 210,983.60 and 84,913.20

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Solution

The fourth proportional to 152,891.84, 210,983.60 and 84,913.20 is: 117,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,891.84 : 210,983.60 = 84,913.20 : x
  2. Step 2: Convert to fraction form
    152,891.84/210,983.60 = 84,913.20/x
  3. Step 3: Cross multiply
    152,891.84x = 210,983.60 × 84,913.20
  4. Step 4: Simplify right side
    152,891.84x = 17,915,292,835.80
  5. Step 5: Solve for x
    x = 17,915,292,835.80/152,891.84
  6. Step 6: Final answer
    x = 117,176.25

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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.