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Finding the Fourth Proportional to 105,159.84, 145,120.44 and 67,434

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Solution

The fourth proportional to 105,159.84, 145,120.44 and 67,434 is: 93,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,159.84 : 145,120.44 = 67,434 : x
  2. Step 2: Convert to fraction form
    105,159.84/145,120.44 = 67,434/x
  3. Step 3: Cross multiply
    105,159.84x = 145,120.44 × 67,434
  4. Step 4: Simplify right side
    105,159.84x = 9,786,051,750.96
  5. Step 5: Solve for x
    x = 9,786,051,750.96/105,159.84
  6. Step 6: Final answer
    x = 93,058.83

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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.