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Finding the Fourth Proportional to 61,921.40, 85,465.14 and 40,702.64

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Solution

The fourth proportional to 61,921.40, 85,465.14 and 40,702.64 is: 56,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,921.40 : 85,465.14 = 40,702.64 : x
  2. Step 2: Convert to fraction form
    61,921.40/85,465.14 = 40,702.64/x
  3. Step 3: Cross multiply
    61,921.40x = 85,465.14 × 40,702.64
  4. Step 4: Simplify right side
    61,921.40x = 3,478,656,825.97
  5. Step 5: Solve for x
    x = 3,478,656,825.97/61,921.40
  6. Step 6: Final answer
    x = 56,178.59

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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.