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Finding the Fourth Proportional to 105,812.66, 158,717.25 and 42,631.25

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Solution

The fourth proportional to 105,812.66, 158,717.25 and 42,631.25 is: 63,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,812.66 : 158,717.25 = 42,631.25 : x
  2. Step 2: Convert to fraction form
    105,812.66/158,717.25 = 42,631.25/x
  3. Step 3: Cross multiply
    105,812.66x = 158,717.25 × 42,631.25
  4. Step 4: Simplify right side
    105,812.66x = 6,766,315,041.04
  5. Step 5: Solve for x
    x = 6,766,315,041.04/105,812.66
  6. Step 6: Final answer
    x = 63,946.18

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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.