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Finding the Fourth Proportional to 137,304.75, 189,483.44 and 77,688.75

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Solution

The fourth proportional to 137,304.75, 189,483.44 and 77,688.75 is: 107,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,304.75 : 189,483.44 = 77,688.75 : x
  2. Step 2: Convert to fraction form
    137,304.75/189,483.44 = 77,688.75/x
  3. Step 3: Cross multiply
    137,304.75x = 189,483.44 × 77,688.75
  4. Step 4: Simplify right side
    137,304.75x = 14,720,731,210.86
  5. Step 5: Solve for x
    x = 14,720,731,210.86/137,304.75
  6. Step 6: Final answer
    x = 107,212.10

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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.