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Finding the Fourth Proportional to 152,876.87, 210,971.99 and 84,898.07

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Solution

The fourth proportional to 152,876.87, 210,971.99 and 84,898.07 is: 117,160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,876.87 : 210,971.99 = 84,898.07 : x
  2. Step 2: Convert to fraction form
    152,876.87/210,971.99 = 84,898.07/x
  3. Step 3: Cross multiply
    152,876.87x = 210,971.99 × 84,898.07
  4. Step 4: Simplify right side
    152,876.87x = 17,911,115,910.31
  5. Step 5: Solve for x
    x = 17,911,115,910.31/152,876.87
  6. Step 6: Final answer
    x = 117,160.41

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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.