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Finding the Fourth Proportional to 170,748, 256,142.43 and 52,403.85

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Solution

The fourth proportional to 170,748, 256,142.43 and 52,403.85 is: 78,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,748 : 256,142.43 = 52,403.85 : x
  2. Step 2: Convert to fraction form
    170,748/256,142.43 = 52,403.85/x
  3. Step 3: Cross multiply
    170,748x = 256,142.43 × 52,403.85
  4. Step 4: Simplify right side
    170,748x = 13,422,849,480.36
  5. Step 5: Solve for x
    x = 13,422,849,480.36/170,748
  6. Step 6: Final answer
    x = 78,612.05

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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.