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Finding the Fourth Proportional to 51,707.76, 77,582.76 and 18,434.16

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Solution

The fourth proportional to 51,707.76, 77,582.76 and 18,434.16 is: 27,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,707.76 : 77,582.76 = 18,434.16 : x
  2. Step 2: Convert to fraction form
    51,707.76/77,582.76 = 18,434.16/x
  3. Step 3: Cross multiply
    51,707.76x = 77,582.76 × 18,434.16
  4. Step 4: Simplify right side
    51,707.76x = 1,430,173,011.08
  5. Step 5: Solve for x
    x = 1,430,173,011.08/51,707.76
  6. Step 6: Final answer
    x = 27,658.77

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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.