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Finding the Fourth Proportional to 103,384.53, 142,724.84 and 69,570.81

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Solution

The fourth proportional to 103,384.53, 142,724.84 and 69,570.81 is: 96,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,384.53 : 142,724.84 = 69,570.81 : x
  2. Step 2: Convert to fraction form
    103,384.53/142,724.84 = 69,570.81/x
  3. Step 3: Cross multiply
    103,384.53x = 142,724.84 × 69,570.81
  4. Step 4: Simplify right side
    103,384.53x = 9,929,482,378.07
  5. Step 5: Solve for x
    x = 9,929,482,378.07/103,384.53
  6. Step 6: Final answer
    x = 96,044.18

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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.