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Finding the Fourth Proportional to 186,472.80, 257,332.78 and 105,900.30

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Solution

The fourth proportional to 186,472.80, 257,332.78 and 105,900.30 is: 146,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,472.80 : 257,332.78 = 105,900.30 : x
  2. Step 2: Convert to fraction form
    186,472.80/257,332.78 = 105,900.30/x
  3. Step 3: Cross multiply
    186,472.80x = 257,332.78 × 105,900.30
  4. Step 4: Simplify right side
    186,472.80x = 27,251,618,601.83
  5. Step 5: Solve for x
    x = 27,251,618,601.83/186,472.80
  6. Step 6: Final answer
    x = 146,142.59

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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.