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Finding the Fourth Proportional to 104,405.16, 144,148.50 and 61,977.32

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Solution

The fourth proportional to 104,405.16, 144,148.50 and 61,977.32 is: 85,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,405.16 : 144,148.50 = 61,977.32 : x
  2. Step 2: Convert to fraction form
    104,405.16/144,148.50 = 61,977.32/x
  3. Step 3: Cross multiply
    104,405.16x = 144,148.50 × 61,977.32
  4. Step 4: Simplify right side
    104,405.16x = 8,933,937,712.02
  5. Step 5: Solve for x
    x = 8,933,937,712.02/104,405.16
  6. Step 6: Final answer
    x = 85,569.89

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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.