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Finding the Fourth Proportional to 101,643.21, 152,390.84 and 42,495.66

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Solution

The fourth proportional to 101,643.21, 152,390.84 and 42,495.66 is: 63,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,643.21 : 152,390.84 = 42,495.66 : x
  2. Step 2: Convert to fraction form
    101,643.21/152,390.84 = 42,495.66/x
  3. Step 3: Cross multiply
    101,643.21x = 152,390.84 × 42,495.66
  4. Step 4: Simplify right side
    101,643.21x = 6,475,949,111.28
  5. Step 5: Solve for x
    x = 6,475,949,111.28/101,643.21
  6. Step 6: Final answer
    x = 63,712.56

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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.