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Finding the Fourth Proportional to 172,090.08, 258,148.08 and 47,430

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Solution

The fourth proportional to 172,090.08, 258,148.08 and 47,430 is: 71,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,090.08 : 258,148.08 = 47,430 : x
  2. Step 2: Convert to fraction form
    172,090.08/258,148.08 = 47,430/x
  3. Step 3: Cross multiply
    172,090.08x = 258,148.08 × 47,430
  4. Step 4: Simplify right side
    172,090.08x = 12,243,963,434.40
  5. Step 5: Solve for x
    x = 12,243,963,434.40/172,090.08
  6. Step 6: Final answer
    x = 71,148.57

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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.