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Finding the Fourth Proportional to 258,803.04, 357,153.60 and 145,625.76

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Solution

The fourth proportional to 258,803.04, 357,153.60 and 145,625.76 is: 200,966.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,803.04 : 357,153.60 = 145,625.76 : x
  2. Step 2: Convert to fraction form
    258,803.04/357,153.60 = 145,625.76/x
  3. Step 3: Cross multiply
    258,803.04x = 357,153.60 × 145,625.76
  4. Step 4: Simplify right side
    258,803.04x = 52,010,764,436.74
  5. Step 5: Solve for x
    x = 52,010,764,436.74/258,803.04
  6. Step 6: Final answer
    x = 200,966.59

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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.