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Finding the Fourth Proportional to 85,881.63, 118,516.55 and 47,646.98

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Solution

The fourth proportional to 85,881.63, 118,516.55 and 47,646.98 is: 65,752.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,881.63 : 118,516.55 = 47,646.98 : x
  2. Step 2: Convert to fraction form
    85,881.63/118,516.55 = 47,646.98/x
  3. Step 3: Cross multiply
    85,881.63x = 118,516.55 × 47,646.98
  4. Step 4: Simplify right side
    85,881.63x = 5,646,954,856.70
  5. Step 5: Solve for x
    x = 5,646,954,856.70/85,881.63
  6. Step 6: Final answer
    x = 65,752.77

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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.