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Finding the Fourth Proportional to 208,277.38, 287,424.15 and 112,784.08

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Solution

The fourth proportional to 208,277.38, 287,424.15 and 112,784.08 is: 155,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,277.38 : 287,424.15 = 112,784.08 : x
  2. Step 2: Convert to fraction form
    208,277.38/287,424.15 = 112,784.08/x
  3. Step 3: Cross multiply
    208,277.38x = 287,424.15 × 112,784.08
  4. Step 4: Simplify right side
    208,277.38x = 32,416,868,327.53
  5. Step 5: Solve for x
    x = 32,416,868,327.53/208,277.38
  6. Step 6: Final answer
    x = 155,642.77

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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.