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Finding the Fourth Proportional to 55,698, 76,866.89 and 30,547.50

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Solution

The fourth proportional to 55,698, 76,866.89 and 30,547.50 is: 42,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,698 : 76,866.89 = 30,547.50 : x
  2. Step 2: Convert to fraction form
    55,698/76,866.89 = 30,547.50/x
  3. Step 3: Cross multiply
    55,698x = 76,866.89 × 30,547.50
  4. Step 4: Simplify right side
    55,698x = 2,348,091,169.54
  5. Step 5: Solve for x
    x = 2,348,091,169.54/55,698
  6. Step 6: Final answer
    x = 42,157.55

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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.