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Finding the Fourth Proportional to 137,161.98, 189,275.90 and 76,720.94

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Solution

The fourth proportional to 137,161.98, 189,275.90 and 76,720.94 is: 105,870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,161.98 : 189,275.90 = 76,720.94 : x
  2. Step 2: Convert to fraction form
    137,161.98/189,275.90 = 76,720.94/x
  3. Step 3: Cross multiply
    137,161.98x = 189,275.90 × 76,720.94
  4. Step 4: Simplify right side
    137,161.98x = 14,521,424,967.35
  5. Step 5: Solve for x
    x = 14,521,424,967.35/137,161.98
  6. Step 6: Final answer
    x = 105,870.63

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1.5x scale

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.