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Finding the Fourth Proportional to 145,726.40, 218,546.40 and 56,928.80

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Solution

The fourth proportional to 145,726.40, 218,546.40 and 56,928.80 is: 85,376.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,726.40 : 218,546.40 = 56,928.80 : x
  2. Step 2: Convert to fraction form
    145,726.40/218,546.40 = 56,928.80/x
  3. Step 3: Cross multiply
    145,726.40x = 218,546.40 × 56,928.80
  4. Step 4: Simplify right side
    145,726.40x = 12,441,584,296.32
  5. Step 5: Solve for x
    x = 12,441,584,296.32/145,726.40
  6. Step 6: Final answer
    x = 85,376.32

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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.