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Finding the Fourth Proportional to 172,358, 258,537.08 and 54,038.57

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Solution

The fourth proportional to 172,358, 258,537.08 and 54,038.57 is: 81,057.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,358 : 258,537.08 = 54,038.57 : x
  2. Step 2: Convert to fraction form
    172,358/258,537.08 = 54,038.57/x
  3. Step 3: Cross multiply
    172,358x = 258,537.08 × 54,038.57
  4. Step 4: Simplify right side
    172,358x = 13,970,974,095.18
  5. Step 5: Solve for x
    x = 13,970,974,095.18/172,358
  6. Step 6: Final answer
    x = 81,057.88

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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.