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Finding the Fourth Proportional to 152,730.54, 210,769.29 and 84,747.78

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Solution

The fourth proportional to 152,730.54, 210,769.29 and 84,747.78 is: 116,952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,730.54 : 210,769.29 = 84,747.78 : x
  2. Step 2: Convert to fraction form
    152,730.54/210,769.29 = 84,747.78/x
  3. Step 3: Cross multiply
    152,730.54x = 210,769.29 × 84,747.78
  4. Step 4: Simplify right side
    152,730.54x = 17,862,229,419.68
  5. Step 5: Solve for x
    x = 17,862,229,419.68/152,730.54
  6. Step 6: Final answer
    x = 116,952.57

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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.