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Finding the Fourth Proportional to 258,057.64, 356,125.86 and 144,877.48

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Solution

The fourth proportional to 258,057.64, 356,125.86 and 144,877.48 is: 199,934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,057.64 : 356,125.86 = 144,877.48 : x
  2. Step 2: Convert to fraction form
    258,057.64/356,125.86 = 144,877.48/x
  3. Step 3: Cross multiply
    258,057.64x = 356,125.86 × 144,877.48
  4. Step 4: Simplify right side
    258,057.64x = 51,594,617,159.63
  5. Step 5: Solve for x
    x = 51,594,617,159.63/258,057.64
  6. Step 6: Final answer
    x = 199,934.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.