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Finding the Fourth Proportional to 76,677.84, 105,815.34 and 43,143.84

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Solution

The fourth proportional to 76,677.84, 105,815.34 and 43,143.84 is: 59,538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,677.84 : 105,815.34 = 43,143.84 : x
  2. Step 2: Convert to fraction form
    76,677.84/105,815.34 = 43,143.84/x
  3. Step 3: Cross multiply
    76,677.84x = 105,815.34 × 43,143.84
  4. Step 4: Simplify right side
    76,677.84x = 4,565,280,098.51
  5. Step 5: Solve for x
    x = 4,565,280,098.51/76,677.84
  6. Step 6: Final answer
    x = 59,538.45

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1.5x scale

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.