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Finding the Fourth Proportional to 76,394.56, 105,428.64 and 42,859.84

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Solution

The fourth proportional to 76,394.56, 105,428.64 and 42,859.84 is: 59,148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,394.56 : 105,428.64 = 42,859.84 : x
  2. Step 2: Convert to fraction form
    76,394.56/105,428.64 = 42,859.84/x
  3. Step 3: Cross multiply
    76,394.56x = 105,428.64 × 42,859.84
  4. Step 4: Simplify right side
    76,394.56x = 4,518,654,641.82
  5. Step 5: Solve for x
    x = 4,518,654,641.82/76,394.56
  6. Step 6: Final answer
    x = 59,148.91

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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.