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Finding the Fourth Proportional to 77,590.69, 116,364.80 and 21,417.37

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Solution

The fourth proportional to 77,590.69, 116,364.80 and 21,417.37 is: 32,120.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,590.69 : 116,364.80 = 21,417.37 : x
  2. Step 2: Convert to fraction form
    77,590.69/116,364.80 = 21,417.37/x
  3. Step 3: Cross multiply
    77,590.69x = 116,364.80 × 21,417.37
  4. Step 4: Simplify right side
    77,590.69x = 2,492,227,869.49
  5. Step 5: Solve for x
    x = 2,492,227,869.49/77,590.69
  6. Step 6: Final answer
    x = 32,120.19

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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.