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Finding the Fourth Proportional to 85,502, 117,992.76 and 47,776.26

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Solution

The fourth proportional to 85,502, 117,992.76 and 47,776.26 is: 65,931.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,502 : 117,992.76 = 47,776.26 : x
  2. Step 2: Convert to fraction form
    85,502/117,992.76 = 47,776.26/x
  3. Step 3: Cross multiply
    85,502x = 117,992.76 × 47,776.26
  4. Step 4: Simplify right side
    85,502x = 5,637,252,779.88
  5. Step 5: Solve for x
    x = 5,637,252,779.88/85,502
  6. Step 6: Final answer
    x = 65,931.24

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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.