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Finding the Fourth Proportional to 253,188.65, 349,443.30 and 145,820.84

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Solution

The fourth proportional to 253,188.65, 349,443.30 and 145,820.84 is: 201,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,188.65 : 349,443.30 = 145,820.84 : x
  2. Step 2: Convert to fraction form
    253,188.65/349,443.30 = 145,820.84/x
  3. Step 3: Cross multiply
    253,188.65x = 349,443.30 × 145,820.84
  4. Step 4: Simplify right side
    253,188.65x = 50,956,116,411.98
  5. Step 5: Solve for x
    x = 50,956,116,411.98/253,188.65
  6. Step 6: Final answer
    x = 201,257.51

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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.