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Finding the Fourth Proportional to 76,643.11, 105,738.11 and 56,547.92

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Solution

The fourth proportional to 76,643.11, 105,738.11 and 56,547.92 is: 78,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,643.11 : 105,738.11 = 56,547.92 : x
  2. Step 2: Convert to fraction form
    76,643.11/105,738.11 = 56,547.92/x
  3. Step 3: Cross multiply
    76,643.11x = 105,738.11 × 56,547.92
  4. Step 4: Simplify right side
    76,643.11x = 5,979,270,378.89
  5. Step 5: Solve for x
    x = 5,979,270,378.89/76,643.11
  6. Step 6: Final answer
    x = 78,014.45

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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.