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Finding the Fourth Proportional to 78,711.76, 108,625.80 and 46,448.08

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Solution

The fourth proportional to 78,711.76, 108,625.80 and 46,448.08 is: 64,100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,711.76 : 108,625.80 = 46,448.08 : x
  2. Step 2: Convert to fraction form
    78,711.76/108,625.80 = 46,448.08/x
  3. Step 3: Cross multiply
    78,711.76x = 108,625.80 × 46,448.08
  4. Step 4: Simplify right side
    78,711.76x = 5,045,459,848.46
  5. Step 5: Solve for x
    x = 5,045,459,848.46/78,711.76
  6. Step 6: Final answer
    x = 64,100.46

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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.