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Finding the Fourth Proportional to 61,143.16, 91,696 and 42,289.08

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Solution

The fourth proportional to 61,143.16, 91,696 and 42,289.08 is: 63,420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,143.16 : 91,696 = 42,289.08 : x
  2. Step 2: Convert to fraction form
    61,143.16/91,696 = 42,289.08/x
  3. Step 3: Cross multiply
    61,143.16x = 91,696 × 42,289.08
  4. Step 4: Simplify right side
    61,143.16x = 3,877,739,479.68
  5. Step 5: Solve for x
    x = 3,877,739,479.68/61,143.16
  6. Step 6: Final answer
    x = 63,420.66

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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.