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Finding the Fourth Proportional to 101,435.84, 139,988.32 and 56,724.16

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Solution

The fourth proportional to 101,435.84, 139,988.32 and 56,724.16 is: 78,283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,435.84 : 139,988.32 = 56,724.16 : x
  2. Step 2: Convert to fraction form
    101,435.84/139,988.32 = 56,724.16/x
  3. Step 3: Cross multiply
    101,435.84x = 139,988.32 × 56,724.16
  4. Step 4: Simplify right side
    101,435.84x = 7,940,719,861.81
  5. Step 5: Solve for x
    x = 7,940,719,861.81/101,435.84
  6. Step 6: Final answer
    x = 78,283.18

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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.