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Finding the Fourth Proportional to 208,316.95, 287,475.96 and 112,821.46

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Solution

The fourth proportional to 208,316.95, 287,475.96 and 112,821.46 is: 155,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,316.95 : 287,475.96 = 112,821.46 : x
  2. Step 2: Convert to fraction form
    208,316.95/287,475.96 = 112,821.46/x
  3. Step 3: Cross multiply
    208,316.95x = 287,475.96 × 112,821.46
  4. Step 4: Simplify right side
    208,316.95x = 32,433,457,522.10
  5. Step 5: Solve for x
    x = 32,433,457,522.10/208,316.95
  6. Step 6: Final answer
    x = 155,692.84

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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.