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Finding the Fourth Proportional to 208,346.56, 287,518.35 and 112,853.50

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Solution

The fourth proportional to 208,346.56, 287,518.35 and 112,853.50 is: 155,737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,346.56 : 287,518.35 = 112,853.50 : x
  2. Step 2: Convert to fraction form
    208,346.56/287,518.35 = 112,853.50/x
  3. Step 3: Cross multiply
    208,346.56x = 287,518.35 × 112,853.50
  4. Step 4: Simplify right side
    208,346.56x = 32,447,452,111.73
  5. Step 5: Solve for x
    x = 32,447,452,111.73/208,346.56
  6. Step 6: Final answer
    x = 155,737.88

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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.