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Finding the Fourth Proportional to 208,618.74, 312,924.87 and 83,956.50

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Solution

The fourth proportional to 208,618.74, 312,924.87 and 83,956.50 is: 125,933.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,618.74 : 312,924.87 = 83,956.50 : x
  2. Step 2: Convert to fraction form
    208,618.74/312,924.87 = 83,956.50/x
  3. Step 3: Cross multiply
    208,618.74x = 312,924.87 × 83,956.50
  4. Step 4: Simplify right side
    208,618.74x = 26,272,076,848.16
  5. Step 5: Solve for x
    x = 26,272,076,848.16/208,618.74
  6. Step 6: Final answer
    x = 125,933.45

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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.