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Finding the Fourth Proportional to 258,319.84, 387,656.10 and 89,838.50

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Solution

The fourth proportional to 258,319.84, 387,656.10 and 89,838.50 is: 134,819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,319.84 : 387,656.10 = 89,838.50 : x
  2. Step 2: Convert to fraction form
    258,319.84/387,656.10 = 89,838.50/x
  3. Step 3: Cross multiply
    258,319.84x = 387,656.10 × 89,838.50
  4. Step 4: Simplify right side
    258,319.84x = 34,826,442,539.85
  5. Step 5: Solve for x
    x = 34,826,442,539.85/258,319.84
  6. Step 6: Final answer
    x = 134,819.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.