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Finding the Fourth Proportional to 208,717.35, 287,919.63 and 148,312.41

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Solution

The fourth proportional to 208,717.35, 287,919.63 and 148,312.41 is: 204,592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,717.35 : 287,919.63 = 148,312.41 : x
  2. Step 2: Convert to fraction form
    208,717.35/287,919.63 = 148,312.41/x
  3. Step 3: Cross multiply
    208,717.35x = 287,919.63 × 148,312.41
  4. Step 4: Simplify right side
    208,717.35x = 42,702,054,211.61
  5. Step 5: Solve for x
    x = 42,702,054,211.61/208,717.35
  6. Step 6: Final answer
    x = 204,592.74

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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.