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Finding the Fourth Proportional to 85,088, 117,421.48 and 47,364.72

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Solution

The fourth proportional to 85,088, 117,421.48 and 47,364.72 is: 65,363.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,088 : 117,421.48 = 47,364.72 : x
  2. Step 2: Convert to fraction form
    85,088/117,421.48 = 47,364.72/x
  3. Step 3: Cross multiply
    85,088x = 117,421.48 × 47,364.72
  4. Step 4: Simplify right side
    85,088x = 5,561,635,522.19
  5. Step 5: Solve for x
    x = 5,561,635,522.19/85,088
  6. Step 6: Final answer
    x = 65,363.34

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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.