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Finding the Fourth Proportional to 208,376, 287,559.12 and 112,883.36

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Solution

The fourth proportional to 208,376, 287,559.12 and 112,883.36 is: 155,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,376 : 287,559.12 = 112,883.36 : x
  2. Step 2: Convert to fraction form
    208,376/287,559.12 = 112,883.36/x
  3. Step 3: Cross multiply
    208,376x = 287,559.12 × 112,883.36
  4. Step 4: Simplify right side
    208,376x = 32,460,639,664.24
  5. Step 5: Solve for x
    x = 32,460,639,664.24/208,376
  6. Step 6: Final answer
    x = 155,779.17

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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.