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Finding the Fourth Proportional to 61,678.78, 85,116.64 and 33,384.40

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Solution

The fourth proportional to 61,678.78, 85,116.64 and 33,384.40 is: 46,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,678.78 : 85,116.64 = 33,384.40 : x
  2. Step 2: Convert to fraction form
    61,678.78/85,116.64 = 33,384.40/x
  3. Step 3: Cross multiply
    61,678.78x = 85,116.64 × 33,384.40
  4. Step 4: Simplify right side
    61,678.78x = 2,841,567,956.42
  5. Step 5: Solve for x
    x = 2,841,567,956.42/61,678.78
  6. Step 6: Final answer
    x = 46,070.43

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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.