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Finding the Fourth Proportional to 172,402.63, 258,601.33 and 77,565.84

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Solution

The fourth proportional to 172,402.63, 258,601.33 and 77,565.84 is: 116,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,402.63 : 258,601.33 = 77,565.84 : x
  2. Step 2: Convert to fraction form
    172,402.63/258,601.33 = 77,565.84/x
  3. Step 3: Cross multiply
    172,402.63x = 258,601.33 × 77,565.84
  4. Step 4: Simplify right side
    172,402.63x = 20,058,628,077.46
  5. Step 5: Solve for x
    x = 20,058,628,077.46/172,402.63
  6. Step 6: Final answer
    x = 116,347.58

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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.