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Finding the Fourth Proportional to 137,170.76, 189,304.50 and 76,746.92

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Solution

The fourth proportional to 137,170.76, 189,304.50 and 76,746.92 is: 105,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,170.76 : 189,304.50 = 76,746.92 : x
  2. Step 2: Convert to fraction form
    137,170.76/189,304.50 = 76,746.92/x
  3. Step 3: Cross multiply
    137,170.76x = 189,304.50 × 76,746.92
  4. Step 4: Simplify right side
    137,170.76x = 14,528,537,317.14
  5. Step 5: Solve for x
    x = 14,528,537,317.14/137,170.76
  6. Step 6: Final answer
    x = 105,915.70

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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.