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Finding the Fourth Proportional to 76,774.79, 105,924.23 and 42,776.73

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Solution

The fourth proportional to 76,774.79, 105,924.23 and 42,776.73 is: 59,017.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,774.79 : 105,924.23 = 42,776.73 : x
  2. Step 2: Convert to fraction form
    76,774.79/105,924.23 = 42,776.73/x
  3. Step 3: Cross multiply
    76,774.79x = 105,924.23 × 42,776.73
  4. Step 4: Simplify right side
    76,774.79x = 4,531,092,551.92
  5. Step 5: Solve for x
    x = 4,531,092,551.92/76,774.79
  6. Step 6: Final answer
    x = 59,017.98

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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.