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Finding the Fourth Proportional to 101,435.62, 152,054.55 and 42,288.20

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Solution

The fourth proportional to 101,435.62, 152,054.55 and 42,288.20 is: 63,391.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,435.62 : 152,054.55 = 42,288.20 : x
  2. Step 2: Convert to fraction form
    101,435.62/152,054.55 = 42,288.20/x
  3. Step 3: Cross multiply
    101,435.62x = 152,054.55 × 42,288.20
  4. Step 4: Simplify right side
    101,435.62x = 6,430,113,458.90
  5. Step 5: Solve for x
    x = 6,430,113,458.90/101,435.62
  6. Step 6: Final answer
    x = 63,391.08

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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.