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Finding the Fourth Proportional to 208,807.78, 288,156.85 and 113,315.30

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Solution

The fourth proportional to 208,807.78, 288,156.85 and 113,315.30 is: 156,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,807.78 : 288,156.85 = 113,315.30 : x
  2. Step 2: Convert to fraction form
    208,807.78/288,156.85 = 113,315.30/x
  3. Step 3: Cross multiply
    208,807.78x = 288,156.85 × 113,315.30
  4. Step 4: Simplify right side
    208,807.78x = 32,652,579,904.81
  5. Step 5: Solve for x
    x = 32,652,579,904.81/208,807.78
  6. Step 6: Final answer
    x = 156,376.26

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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.