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Finding the Fourth Proportional to 137,159.21, 189,279.98 and 76,730.86

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Solution

The fourth proportional to 137,159.21, 189,279.98 and 76,730.86 is: 105,888.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,159.21 : 189,279.98 = 76,730.86 : x
  2. Step 2: Convert to fraction form
    137,159.21/189,279.98 = 76,730.86/x
  3. Step 3: Cross multiply
    137,159.21x = 189,279.98 × 76,730.86
  4. Step 4: Simplify right side
    137,159.21x = 14,523,615,364.81
  5. Step 5: Solve for x
    x = 14,523,615,364.81/137,159.21
  6. Step 6: Final answer
    x = 105,888.74

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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.