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Finding the Fourth Proportional to 172,421.86, 258,296.58 and 97,314.82

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Solution

The fourth proportional to 172,421.86, 258,296.58 and 97,314.82 is: 145,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,421.86 : 258,296.58 = 97,314.82 : x
  2. Step 2: Convert to fraction form
    172,421.86/258,296.58 = 97,314.82/x
  3. Step 3: Cross multiply
    172,421.86x = 258,296.58 × 97,314.82
  4. Step 4: Simplify right side
    172,421.86x = 25,136,085,189.32
  5. Step 5: Solve for x
    x = 25,136,085,189.32/172,421.86
  6. Step 6: Final answer
    x = 145,782.47

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1.5x scale

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.