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Finding the Fourth Proportional to 145,739.76, 218,617.40 and 45,907.76

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Solution

The fourth proportional to 145,739.76, 218,617.40 and 45,907.76 is: 68,864.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,739.76 : 218,617.40 = 45,907.76 : x
  2. Step 2: Convert to fraction form
    145,739.76/218,617.40 = 45,907.76/x
  3. Step 3: Cross multiply
    145,739.76x = 218,617.40 × 45,907.76
  4. Step 4: Simplify right side
    145,739.76x = 10,036,235,131.02
  5. Step 5: Solve for x
    x = 10,036,235,131.02/145,739.76
  6. Step 6: Final answer
    x = 68,864.08

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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.