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Finding the Fourth Proportional to 78,615.94, 108,486.74 and 42,805.87

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Solution

The fourth proportional to 78,615.94, 108,486.74 and 42,805.87 is: 59,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,615.94 : 108,486.74 = 42,805.87 : x
  2. Step 2: Convert to fraction form
    78,615.94/108,486.74 = 42,805.87/x
  3. Step 3: Cross multiply
    78,615.94x = 108,486.74 × 42,805.87
  4. Step 4: Simplify right side
    78,615.94x = 4,643,869,124.96
  5. Step 5: Solve for x
    x = 4,643,869,124.96/78,615.94
  6. Step 6: Final answer
    x = 59,070.32

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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.