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Finding the Fourth Proportional to 208,124.72, 287,212.18 and 112,631.50

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Solution

The fourth proportional to 208,124.72, 287,212.18 and 112,631.50 is: 155,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,124.72 : 287,212.18 = 112,631.50 : x
  2. Step 2: Convert to fraction form
    208,124.72/287,212.18 = 112,631.50/x
  3. Step 3: Cross multiply
    208,124.72x = 287,212.18 × 112,631.50
  4. Step 4: Simplify right side
    208,124.72x = 32,349,137,652.06
  5. Step 5: Solve for x
    x = 32,349,137,652.06/208,124.72
  6. Step 6: Final answer
    x = 155,431.50

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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.