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Finding the Fourth Proportional to 152,029.60, 209,792.64 and 84,042.52

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Solution

The fourth proportional to 152,029.60, 209,792.64 and 84,042.52 is: 115,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,029.60 : 209,792.64 = 84,042.52 : x
  2. Step 2: Convert to fraction form
    152,029.60/209,792.64 = 84,042.52/x
  3. Step 3: Cross multiply
    152,029.60x = 209,792.64 × 84,042.52
  4. Step 4: Simplify right side
    152,029.60x = 17,631,502,143.05
  5. Step 5: Solve for x
    x = 17,631,502,143.05/152,029.60
  6. Step 6: Final answer
    x = 115,974.14

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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.