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Finding the Fourth Proportional to 258,903.84, 357,264.54 and 144,173.82

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Solution

The fourth proportional to 258,903.84, 357,264.54 and 144,173.82 is: 198,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,903.84 : 357,264.54 = 144,173.82 : x
  2. Step 2: Convert to fraction form
    258,903.84/357,264.54 = 144,173.82/x
  3. Step 3: Cross multiply
    258,903.84x = 357,264.54 × 144,173.82
  4. Step 4: Simplify right side
    258,903.84x = 51,508,193,482.34
  5. Step 5: Solve for x
    x = 51,508,193,482.34/258,903.84
  6. Step 6: Final answer
    x = 198,947.20

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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.