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Finding the Fourth Proportional to 158,630.40, 237,478.11 and 138,947.40

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Solution

The fourth proportional to 158,630.40, 237,478.11 and 138,947.40 is: 208,011.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,630.40 : 237,478.11 = 138,947.40 : x
  2. Step 2: Convert to fraction form
    158,630.40/237,478.11 = 138,947.40/x
  3. Step 3: Cross multiply
    158,630.40x = 237,478.11 × 138,947.40
  4. Step 4: Simplify right side
    158,630.40x = 32,996,965,941.41
  5. Step 5: Solve for x
    x = 32,996,965,941.41/158,630.40
  6. Step 6: Final answer
    x = 208,011.62

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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.