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Finding the Fourth Proportional to 152,702.56, 210,729.78 and 84,717.40

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Solution

The fourth proportional to 152,702.56, 210,729.78 and 84,717.40 is: 116,910.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,702.56 : 210,729.78 = 84,717.40 : x
  2. Step 2: Convert to fraction form
    152,702.56/210,729.78 = 84,717.40/x
  3. Step 3: Cross multiply
    152,702.56x = 210,729.78 × 84,717.40
  4. Step 4: Simplify right side
    152,702.56x = 17,852,479,064.17
  5. Step 5: Solve for x
    x = 17,852,479,064.17/152,702.56
  6. Step 6: Final answer
    x = 116,910.15

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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.