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Finding the Fourth Proportional to 103,640.96, 143,018.52 and 61,184

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Solution

The fourth proportional to 103,640.96, 143,018.52 and 61,184 is: 84,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640.96 : 143,018.52 = 61,184 : x
  2. Step 2: Convert to fraction form
    103,640.96/143,018.52 = 61,184/x
  3. Step 3: Cross multiply
    103,640.96x = 143,018.52 × 61,184
  4. Step 4: Simplify right side
    103,640.96x = 8,750,445,127.68
  5. Step 5: Solve for x
    x = 8,750,445,127.68/103,640.96
  6. Step 6: Final answer
    x = 84,430.38

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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.