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Finding the Fourth Proportional to 83,490.94, 115,159.69 and 51,640.93

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Solution

The fourth proportional to 83,490.94, 115,159.69 and 51,640.93 is: 71,228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,490.94 : 115,159.69 = 51,640.93 : x
  2. Step 2: Convert to fraction form
    83,490.94/115,159.69 = 51,640.93/x
  3. Step 3: Cross multiply
    83,490.94x = 115,159.69 × 51,640.93
  4. Step 4: Simplify right side
    83,490.94x = 5,946,953,490.11
  5. Step 5: Solve for x
    x = 5,946,953,490.11/83,490.94
  6. Step 6: Final answer
    x = 71,228.73

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1.5x scale

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.