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Finding the Fourth Proportional to 137,718.40, 206,318.40 and 70,931.20

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Solution

The fourth proportional to 137,718.40, 206,318.40 and 70,931.20 is: 106,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,718.40 : 206,318.40 = 70,931.20 : x
  2. Step 2: Convert to fraction form
    137,718.40/206,318.40 = 70,931.20/x
  3. Step 3: Cross multiply
    137,718.40x = 206,318.40 × 70,931.20
  4. Step 4: Simplify right side
    137,718.40x = 14,634,411,694.08
  5. Step 5: Solve for x
    x = 14,634,411,694.08/137,718.40
  6. Step 6: Final answer
    x = 106,263.30

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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.