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Finding the Fourth Proportional to 99,444, 137,201.64 and 56,416.32

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Solution

The fourth proportional to 99,444, 137,201.64 and 56,416.32 is: 77,836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,444 : 137,201.64 = 56,416.32 : x
  2. Step 2: Convert to fraction form
    99,444/137,201.64 = 56,416.32/x
  3. Step 3: Cross multiply
    99,444x = 137,201.64 × 56,416.32
  4. Step 4: Simplify right side
    99,444x = 7,740,411,626.76
  5. Step 5: Solve for x
    x = 7,740,411,626.76/99,444
  6. Step 6: Final answer
    x = 77,836.89

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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.