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Finding the Fourth Proportional to 258,951.60, 357,320.16 and 145,752.48

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Solution

The fourth proportional to 258,951.60, 357,320.16 and 145,752.48 is: 201,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,951.60 : 357,320.16 = 145,752.48 : x
  2. Step 2: Convert to fraction form
    258,951.60/357,320.16 = 145,752.48/x
  3. Step 3: Cross multiply
    258,951.60x = 357,320.16 × 145,752.48
  4. Step 4: Simplify right side
    258,951.60x = 52,080,299,474.00
  5. Step 5: Solve for x
    x = 52,080,299,474.00/258,951.60
  6. Step 6: Final answer
    x = 201,119.82

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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.