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Finding the Fourth Proportional to 152,486.30, 210,445.74 and 84,517.98

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Solution

The fourth proportional to 152,486.30, 210,445.74 and 84,517.98 is: 116,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,486.30 : 210,445.74 = 84,517.98 : x
  2. Step 2: Convert to fraction form
    152,486.30/210,445.74 = 84,517.98/x
  3. Step 3: Cross multiply
    152,486.30x = 210,445.74 × 84,517.98
  4. Step 4: Simplify right side
    152,486.30x = 17,786,448,844.41
  5. Step 5: Solve for x
    x = 17,786,448,844.41/152,486.30
  6. Step 6: Final answer
    x = 116,642.93

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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.