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Finding the Fourth Proportional to 172,254.50, 258,386.58 and 47,595.50

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Solution

The fourth proportional to 172,254.50, 258,386.58 and 47,595.50 is: 71,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,254.50 : 258,386.58 = 47,595.50 : x
  2. Step 2: Convert to fraction form
    172,254.50/258,386.58 = 47,595.50/x
  3. Step 3: Cross multiply
    172,254.50x = 258,386.58 × 47,595.50
  4. Step 4: Simplify right side
    172,254.50x = 12,298,038,468.39
  5. Step 5: Solve for x
    x = 12,298,038,468.39/172,254.50
  6. Step 6: Final answer
    x = 71,394.58

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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.