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Finding the Fourth Proportional to 51,807.76, 77,709.80 and 16,746.50

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Solution

The fourth proportional to 51,807.76, 77,709.80 and 16,746.50 is: 25,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,807.76 : 77,709.80 = 16,746.50 : x
  2. Step 2: Convert to fraction form
    51,807.76/77,709.80 = 16,746.50/x
  3. Step 3: Cross multiply
    51,807.76x = 77,709.80 × 16,746.50
  4. Step 4: Simplify right side
    51,807.76x = 1,301,367,165.70
  5. Step 5: Solve for x
    x = 1,301,367,165.70/51,807.76
  6. Step 6: Final answer
    x = 25,119.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.