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Finding the Fourth Proportional to 145,709.97, 218,435.29 and 56,943.29

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Solution

The fourth proportional to 145,709.97, 218,435.29 and 56,943.29 is: 85,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,709.97 : 218,435.29 = 56,943.29 : x
  2. Step 2: Convert to fraction form
    145,709.97/218,435.29 = 56,943.29/x
  3. Step 3: Cross multiply
    145,709.97x = 218,435.29 × 56,943.29
  4. Step 4: Simplify right side
    145,709.97x = 12,438,422,830.17
  5. Step 5: Solve for x
    x = 12,438,422,830.17/145,709.97
  6. Step 6: Final answer
    x = 85,364.25

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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.