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Finding the Fourth Proportional to 257,763.76, 386,522.94 and 105,937.12

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Solution

The fourth proportional to 257,763.76, 386,522.94 and 105,937.12 is: 158,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,763.76 : 386,522.94 = 105,937.12 : x
  2. Step 2: Convert to fraction form
    257,763.76/386,522.94 = 105,937.12/x
  3. Step 3: Cross multiply
    257,763.76x = 386,522.94 × 105,937.12
  4. Step 4: Simplify right side
    257,763.76x = 40,947,127,077.53
  5. Step 5: Solve for x
    x = 40,947,127,077.53/257,763.76
  6. Step 6: Final answer
    x = 158,855.25

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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.