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Finding the Fourth Proportional to 99,590.91, 137,423.35 and 56,555

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Solution

The fourth proportional to 99,590.91, 137,423.35 and 56,555 is: 78,039.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,590.91 : 137,423.35 = 56,555 : x
  2. Step 2: Convert to fraction form
    99,590.91/137,423.35 = 56,555/x
  3. Step 3: Cross multiply
    99,590.91x = 137,423.35 × 56,555
  4. Step 4: Simplify right side
    99,590.91x = 7,771,977,559.25
  5. Step 5: Solve for x
    x = 7,771,977,559.25/99,590.91
  6. Step 6: Final answer
    x = 78,039.03

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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.