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Finding the Fourth Proportional to 78,132.65, 107,815.34 and 43,670.93

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Solution

The fourth proportional to 78,132.65, 107,815.34 and 43,670.93 is: 60,261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,132.65 : 107,815.34 = 43,670.93 : x
  2. Step 2: Convert to fraction form
    78,132.65/107,815.34 = 43,670.93/x
  3. Step 3: Cross multiply
    78,132.65x = 107,815.34 × 43,670.93
  4. Step 4: Simplify right side
    78,132.65x = 4,708,395,947.71
  5. Step 5: Solve for x
    x = 4,708,395,947.71/78,132.65
  6. Step 6: Final answer
    x = 60,261.57

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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.