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Finding the Fourth Proportional to 172,608, 258,466.56 and 102,535.68

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Solution

The fourth proportional to 172,608, 258,466.56 and 102,535.68 is: 153,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,608 : 258,466.56 = 102,535.68 : x
  2. Step 2: Convert to fraction form
    172,608/258,466.56 = 102,535.68/x
  3. Step 3: Cross multiply
    172,608x = 258,466.56 × 102,535.68
  4. Step 4: Simplify right side
    172,608x = 26,502,044,486.86
  5. Step 5: Solve for x
    x = 26,502,044,486.86/172,608
  6. Step 6: Final answer
    x = 153,538.91

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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.