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Finding the Fourth Proportional to 137,718.90, 206,319.15 and 70,931.70

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Solution

The fourth proportional to 137,718.90, 206,319.15 and 70,931.70 is: 106,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,718.90 : 206,319.15 = 70,931.70 : x
  2. Step 2: Convert to fraction form
    137,718.90/206,319.15 = 70,931.70/x
  3. Step 3: Cross multiply
    137,718.90x = 206,319.15 × 70,931.70
  4. Step 4: Simplify right side
    137,718.90x = 14,634,568,052.06
  5. Step 5: Solve for x
    x = 14,634,568,052.06/137,718.90
  6. Step 6: Final answer
    x = 106,264.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.