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Finding the Fourth Proportional to 145,643.70, 218,490.45 and 66,764.70

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Solution

The fourth proportional to 145,643.70, 218,490.45 and 66,764.70 is: 100,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,643.70 : 218,490.45 = 66,764.70 : x
  2. Step 2: Convert to fraction form
    145,643.70/218,490.45 = 66,764.70/x
  3. Step 3: Cross multiply
    145,643.70x = 218,490.45 × 66,764.70
  4. Step 4: Simplify right side
    145,643.70x = 14,587,449,347.12
  5. Step 5: Solve for x
    x = 14,587,449,347.12/145,643.70
  6. Step 6: Final answer
    x = 100,158.46

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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.