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Finding the Fourth Proportional to 152,705.57, 210,726.54 and 84,721.82

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Solution

The fourth proportional to 152,705.57, 210,726.54 and 84,721.82 is: 116,912.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,705.57 : 210,726.54 = 84,721.82 : x
  2. Step 2: Convert to fraction form
    152,705.57/210,726.54 = 84,721.82/x
  3. Step 3: Cross multiply
    152,705.57x = 210,726.54 × 84,721.82
  4. Step 4: Simplify right side
    152,705.57x = 17,853,134,937.47
  5. Step 5: Solve for x
    x = 17,853,134,937.47/152,705.57
  6. Step 6: Final answer
    x = 116,912.14

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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.