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Finding the Fourth Proportional to 67,435.90, 101,141.70 and 42,431.20

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Solution

The fourth proportional to 67,435.90, 101,141.70 and 42,431.20 is: 63,639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,435.90 : 101,141.70 = 42,431.20 : x
  2. Step 2: Convert to fraction form
    67,435.90/101,141.70 = 42,431.20/x
  3. Step 3: Cross multiply
    67,435.90x = 101,141.70 × 42,431.20
  4. Step 4: Simplify right side
    67,435.90x = 4,291,563,701.04
  5. Step 5: Solve for x
    x = 4,291,563,701.04/67,435.90
  6. Step 6: Final answer
    x = 63,639.16

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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.