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Finding the Fourth Proportional to 86,404.93, 129,314.77 and 53,146.06

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Solution

The fourth proportional to 86,404.93, 129,314.77 and 53,146.06 is: 79,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,404.93 : 129,314.77 = 53,146.06 : x
  2. Step 2: Convert to fraction form
    86,404.93/129,314.77 = 53,146.06/x
  3. Step 3: Cross multiply
    86,404.93x = 129,314.77 × 53,146.06
  4. Step 4: Simplify right side
    86,404.93x = 6,872,570,525.31
  5. Step 5: Solve for x
    x = 6,872,570,525.31/86,404.93
  6. Step 6: Final answer
    x = 79,539.10

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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.