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Finding the Fourth Proportional to 172,864.95, 259,294.84 and 105,416.80

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Solution

The fourth proportional to 172,864.95, 259,294.84 and 105,416.80 is: 158,123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,864.95 : 259,294.84 = 105,416.80 : x
  2. Step 2: Convert to fraction form
    172,864.95/259,294.84 = 105,416.80/x
  3. Step 3: Cross multiply
    172,864.95x = 259,294.84 × 105,416.80
  4. Step 4: Simplify right side
    172,864.95x = 27,334,032,289.31
  5. Step 5: Solve for x
    x = 27,334,032,289.31/172,864.95
  6. Step 6: Final answer
    x = 158,123.62

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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.