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Finding the Fourth Proportional to 61,677.84, 85,071.51 and 42,564.90

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Solution

The fourth proportional to 61,677.84, 85,071.51 and 42,564.90 is: 58,709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,677.84 : 85,071.51 = 42,564.90 : x
  2. Step 2: Convert to fraction form
    61,677.84/85,071.51 = 42,564.90/x
  3. Step 3: Cross multiply
    61,677.84x = 85,071.51 × 42,564.90
  4. Step 4: Simplify right side
    61,677.84x = 3,621,060,316.00
  5. Step 5: Solve for x
    x = 3,621,060,316.00/61,677.84
  6. Step 6: Final answer
    x = 58,709.26

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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.