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Finding the Fourth Proportional to 85,991.72, 129,024.54 and 46,577

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Solution

The fourth proportional to 85,991.72, 129,024.54 and 46,577 is: 69,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,991.72 : 129,024.54 = 46,577 : x
  2. Step 2: Convert to fraction form
    85,991.72/129,024.54 = 46,577/x
  3. Step 3: Cross multiply
    85,991.72x = 129,024.54 × 46,577
  4. Step 4: Simplify right side
    85,991.72x = 6,009,575,999.58
  5. Step 5: Solve for x
    x = 6,009,575,999.58/85,991.72
  6. Step 6: Final answer
    x = 69,885.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.