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Finding the Fourth Proportional to 208,125.59, 287,213.31 and 112,632.98

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Solution

The fourth proportional to 208,125.59, 287,213.31 and 112,632.98 is: 155,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,125.59 : 287,213.31 = 112,632.98 : x
  2. Step 2: Convert to fraction form
    208,125.59/287,213.31 = 112,632.98/x
  3. Step 3: Cross multiply
    208,125.59x = 287,213.31 × 112,632.98
  4. Step 4: Simplify right side
    208,125.59x = 32,349,689,564.90
  5. Step 5: Solve for x
    x = 32,349,689,564.90/208,125.59
  6. Step 6: Final answer
    x = 155,433.51

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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.