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Finding the Fourth Proportional to 316,123.80, 474,086.98 and 105,712.60

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Solution

The fourth proportional to 316,123.80, 474,086.98 and 105,712.60 is: 158,535.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,123.80 : 474,086.98 = 105,712.60 : x
  2. Step 2: Convert to fraction form
    316,123.80/474,086.98 = 105,712.60/x
  3. Step 3: Cross multiply
    316,123.80x = 474,086.98 × 105,712.60
  4. Step 4: Simplify right side
    316,123.80x = 50,116,967,281.95
  5. Step 5: Solve for x
    x = 50,116,967,281.95/316,123.80
  6. Step 6: Final answer
    x = 158,535.89

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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.