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Finding the Fourth Proportional to 164,788, 247,181.84 and 142,535.22

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Solution

The fourth proportional to 164,788, 247,181.84 and 142,535.22 is: 213,802.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,788 : 247,181.84 = 142,535.22 : x
  2. Step 2: Convert to fraction form
    164,788/247,181.84 = 142,535.22/x
  3. Step 3: Cross multiply
    164,788x = 247,181.84 × 142,535.22
  4. Step 4: Simplify right side
    164,788x = 35,232,117,944.40
  5. Step 5: Solve for x
    x = 35,232,117,944.40/164,788
  6. Step 6: Final answer
    x = 213,802.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.