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Finding the Fourth Proportional to 99,930.31, 137,911.70 and 56,911.63

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Solution

The fourth proportional to 99,930.31, 137,911.70 and 56,911.63 is: 78,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,930.31 : 137,911.70 = 56,911.63 : x
  2. Step 2: Convert to fraction form
    99,930.31/137,911.70 = 56,911.63/x
  3. Step 3: Cross multiply
    99,930.31x = 137,911.70 × 56,911.63
  4. Step 4: Simplify right side
    99,930.31x = 7,848,779,643.07
  5. Step 5: Solve for x
    x = 7,848,779,643.07/99,930.31
  6. Step 6: Final answer
    x = 78,542.53

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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.