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Finding the Fourth Proportional to 86,952.64, 119,951.92 and 56,724

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Solution

The fourth proportional to 86,952.64, 119,951.92 and 56,724 is: 78,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,952.64 : 119,951.92 = 56,724 : x
  2. Step 2: Convert to fraction form
    86,952.64/119,951.92 = 56,724/x
  3. Step 3: Cross multiply
    86,952.64x = 119,951.92 × 56,724
  4. Step 4: Simplify right side
    86,952.64x = 6,804,152,710.08
  5. Step 5: Solve for x
    x = 6,804,152,710.08/86,952.64
  6. Step 6: Final answer
    x = 78,251.25

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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.