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Finding the Fourth Proportional to 85,881.15, 118,516.70 and 47,643.20

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Solution

The fourth proportional to 85,881.15, 118,516.70 and 47,643.20 is: 65,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,881.15 : 118,516.70 = 47,643.20 : x
  2. Step 2: Convert to fraction form
    85,881.15/118,516.70 = 47,643.20/x
  3. Step 3: Cross multiply
    85,881.15x = 118,516.70 × 47,643.20
  4. Step 4: Simplify right side
    85,881.15x = 5,646,515,211.07
  5. Step 5: Solve for x
    x = 5,646,515,211.07/85,881.15
  6. Step 6: Final answer
    x = 65,748.02

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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.