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Finding the Fourth Proportional to 74,702.64, 103,090.14 and 42,870.72

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Solution

The fourth proportional to 74,702.64, 103,090.14 and 42,870.72 is: 59,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,702.64 : 103,090.14 = 42,870.72 : x
  2. Step 2: Convert to fraction form
    74,702.64/103,090.14 = 42,870.72/x
  3. Step 3: Cross multiply
    74,702.64x = 103,090.14 × 42,870.72
  4. Step 4: Simplify right side
    74,702.64x = 4,419,548,526.70
  5. Step 5: Solve for x
    x = 4,419,548,526.70/74,702.64
  6. Step 6: Final answer
    x = 59,161.88

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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.