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Finding the Fourth Proportional to 99,408.61, 137,187.68 and 56,975.35

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Solution

The fourth proportional to 99,408.61, 137,187.68 and 56,975.35 is: 78,628.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,408.61 : 137,187.68 = 56,975.35 : x
  2. Step 2: Convert to fraction form
    99,408.61/137,187.68 = 56,975.35/x
  3. Step 3: Cross multiply
    99,408.61x = 137,187.68 × 56,975.35
  4. Step 4: Simplify right side
    99,408.61x = 7,816,315,798.81
  5. Step 5: Solve for x
    x = 7,816,315,798.81/99,408.61
  6. Step 6: Final answer
    x = 78,628.16

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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.