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Finding the Fourth Proportional to 152,205.66, 210,044.06 and 84,225.49

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Solution

The fourth proportional to 152,205.66, 210,044.06 and 84,225.49 is: 116,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,205.66 : 210,044.06 = 84,225.49 : x
  2. Step 2: Convert to fraction form
    152,205.66/210,044.06 = 84,225.49/x
  3. Step 3: Cross multiply
    152,205.66x = 210,044.06 × 84,225.49
  4. Step 4: Simplify right side
    152,205.66x = 17,691,064,400.20
  5. Step 5: Solve for x
    x = 17,691,064,400.20/152,205.66
  6. Step 6: Final answer
    x = 116,231.32

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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.