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Finding the Fourth Proportional to 147,689.50, 203,784.62 and 83,148.70

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Solution

The fourth proportional to 147,689.50, 203,784.62 and 83,148.70 is: 114,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,689.50 : 203,784.62 = 83,148.70 : x
  2. Step 2: Convert to fraction form
    147,689.50/203,784.62 = 83,148.70/x
  3. Step 3: Cross multiply
    147,689.50x = 203,784.62 × 83,148.70
  4. Step 4: Simplify right side
    147,689.50x = 16,944,426,232.99
  5. Step 5: Solve for x
    x = 16,944,426,232.99/147,689.50
  6. Step 6: Final answer
    x = 114,730.07

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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.