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Finding the Fourth Proportional to 219,223.16, 328,849.59 and 77,051.15

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Solution

The fourth proportional to 219,223.16, 328,849.59 and 77,051.15 is: 115,581.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,223.16 : 328,849.59 = 77,051.15 : x
  2. Step 2: Convert to fraction form
    219,223.16/328,849.59 = 77,051.15/x
  3. Step 3: Cross multiply
    219,223.16x = 328,849.59 × 77,051.15
  4. Step 4: Simplify right side
    219,223.16x = 25,338,237,442.28
  5. Step 5: Solve for x
    x = 25,338,237,442.28/219,223.16
  6. Step 6: Final answer
    x = 115,581.94

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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.