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Finding the Fourth Proportional to 172,323.72, 258,346.16 and 77,484.48

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Solution

The fourth proportional to 172,323.72, 258,346.16 and 77,484.48 is: 116,164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,323.72 : 258,346.16 = 77,484.48 : x
  2. Step 2: Convert to fraction form
    172,323.72/258,346.16 = 77,484.48/x
  3. Step 3: Cross multiply
    172,323.72x = 258,346.16 × 77,484.48
  4. Step 4: Simplify right side
    172,323.72x = 20,017,817,867.60
  5. Step 5: Solve for x
    x = 20,017,817,867.60/172,323.72
  6. Step 6: Final answer
    x = 116,164.03

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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.