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Finding the Fourth Proportional to 137,315.40, 205,713.90 and 70,528.20

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Solution

The fourth proportional to 137,315.40, 205,713.90 and 70,528.20 is: 105,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,315.40 : 205,713.90 = 70,528.20 : x
  2. Step 2: Convert to fraction form
    137,315.40/205,713.90 = 70,528.20/x
  3. Step 3: Cross multiply
    137,315.40x = 205,713.90 × 70,528.20
  4. Step 4: Simplify right side
    137,315.40x = 14,508,631,081.98
  5. Step 5: Solve for x
    x = 14,508,631,081.98/137,315.40
  6. Step 6: Final answer
    x = 105,659.17

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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.