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Finding the Fourth Proportional to 101,783.62, 152,563.65 and 42,656.86

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Solution

The fourth proportional to 101,783.62, 152,563.65 and 42,656.86 is: 63,938.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,783.62 : 152,563.65 = 42,656.86 : x
  2. Step 2: Convert to fraction form
    101,783.62/152,563.65 = 42,656.86/x
  3. Step 3: Cross multiply
    101,783.62x = 152,563.65 × 42,656.86
  4. Step 4: Simplify right side
    101,783.62x = 6,507,886,259.14
  5. Step 5: Solve for x
    x = 6,507,886,259.14/101,783.62
  6. Step 6: Final answer
    x = 63,938.44

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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.