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Finding the Fourth Proportional to 104,643.45, 144,406.26 and 56,898

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Solution

The fourth proportional to 104,643.45, 144,406.26 and 56,898 is: 78,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,643.45 : 144,406.26 = 56,898 : x
  2. Step 2: Convert to fraction form
    104,643.45/144,406.26 = 56,898/x
  3. Step 3: Cross multiply
    104,643.45x = 144,406.26 × 56,898
  4. Step 4: Simplify right side
    104,643.45x = 8,216,427,381.48
  5. Step 5: Solve for x
    x = 8,216,427,381.48/104,643.45
  6. Step 6: Final answer
    x = 78,518.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.