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Finding the Fourth Proportional to 208,526.81, 312,742.22 and 124,310.70

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Solution

The fourth proportional to 208,526.81, 312,742.22 and 124,310.70 is: 186,437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,526.81 : 312,742.22 = 124,310.70 : x
  2. Step 2: Convert to fraction form
    208,526.81/312,742.22 = 124,310.70/x
  3. Step 3: Cross multiply
    208,526.81x = 312,742.22 × 124,310.70
  4. Step 4: Simplify right side
    208,526.81x = 38,877,203,666.20
  5. Step 5: Solve for x
    x = 38,877,203,666.20/208,526.81
  6. Step 6: Final answer
    x = 186,437.44

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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.