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Finding the Fourth Proportional to 76,703.65, 105,848.08 and 42,713.57

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Solution

The fourth proportional to 76,703.65, 105,848.08 and 42,713.57 is: 58,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,703.65 : 105,848.08 = 42,713.57 : x
  2. Step 2: Convert to fraction form
    76,703.65/105,848.08 = 42,713.57/x
  3. Step 3: Cross multiply
    76,703.65x = 105,848.08 × 42,713.57
  4. Step 4: Simplify right side
    76,703.65x = 4,521,149,374.45
  5. Step 5: Solve for x
    x = 4,521,149,374.45/76,703.65
  6. Step 6: Final answer
    x = 58,943.08

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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.