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Finding the Fourth Proportional to 152,467.70, 210,410.03 and 84,478.31

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Solution

The fourth proportional to 152,467.70, 210,410.03 and 84,478.31 is: 116,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,467.70 : 210,410.03 = 84,478.31 : x
  2. Step 2: Convert to fraction form
    152,467.70/210,410.03 = 84,478.31/x
  3. Step 3: Cross multiply
    152,467.70x = 210,410.03 × 84,478.31
  4. Step 4: Simplify right side
    152,467.70x = 17,775,082,689.40
  5. Step 5: Solve for x
    x = 17,775,082,689.40/152,467.70
  6. Step 6: Final answer
    x = 116,582.62

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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.