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Finding the Fourth Proportional to 137,476.16, 189,732.84 and 77,063.12

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Solution

The fourth proportional to 137,476.16, 189,732.84 and 77,063.12 is: 106,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,476.16 : 189,732.84 = 77,063.12 : x
  2. Step 2: Convert to fraction form
    137,476.16/189,732.84 = 77,063.12/x
  3. Step 3: Cross multiply
    137,476.16x = 189,732.84 × 77,063.12
  4. Step 4: Simplify right side
    137,476.16x = 14,621,404,616.86
  5. Step 5: Solve for x
    x = 14,621,404,616.86/137,476.16
  6. Step 6: Final answer
    x = 106,355.93

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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.