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Finding the Fourth Proportional to 152,705.17, 210,726.02 and 84,721.42

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Solution

The fourth proportional to 152,705.17, 210,726.02 and 84,721.42 is: 116,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,705.17 : 210,726.02 = 84,721.42 : x
  2. Step 2: Convert to fraction form
    152,705.17/210,726.02 = 84,721.42/x
  3. Step 3: Cross multiply
    152,705.17x = 210,726.02 × 84,721.42
  4. Step 4: Simplify right side
    152,705.17x = 17,853,007,330.34
  5. Step 5: Solve for x
    x = 17,853,007,330.34/152,705.17
  6. Step 6: Final answer
    x = 116,911.61

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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.