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Finding the Fourth Proportional to 99,782.78, 137,701.54 and 58,948.26

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Solution

The fourth proportional to 99,782.78, 137,701.54 and 58,948.26 is: 81,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,782.78 : 137,701.54 = 58,948.26 : x
  2. Step 2: Convert to fraction form
    99,782.78/137,701.54 = 58,948.26/x
  3. Step 3: Cross multiply
    99,782.78x = 137,701.54 × 58,948.26
  4. Step 4: Simplify right side
    99,782.78x = 8,117,266,182.32
  5. Step 5: Solve for x
    x = 8,117,266,182.32/99,782.78
  6. Step 6: Final answer
    x = 81,349.37

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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.